12540416256 has 81 divisors (see below), whose sum is σ = 36172616389. Its totient is φ = 4178347008.

The previous prime is 12540416227. The next prime is 12540416261. The reversal of 12540416256 is 65261404521.

The square root of 12540416256 is 111984.

It is a perfect power (a square), and thus also a powerful number.

12540416256 is a `hidden beast` number, since 1 + 2 + 540 + 4 + 1 + 62 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4292870400 + 8247545856 = 65520^2 + 90816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12540416256.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5374066 + ... + 5376398.

Almost surely, 2^12540416256 is an apocalyptic number.

12540416256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12540416256 is the 111984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540416256

12540416256 is an abundant number, since it is smaller than the sum of its proper divisors (23632200133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12540416256 is an frugal number, since it uses more digits than its factorization.

12540416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 12540416256 by its sum of digits (36), we get a square (451454985216 = 671904²).

12540416256 divided by its sum of digits (36) gives a square (348344896 = 18664²).

Multiplying 12540416256 by its product of nonzero digits (57600), we get a square (722327976345600 = 26876160²).

The spelling of 12540416256 in words is "twelve billion, five hundred forty million, four hundred sixteen thousand, two hundred fifty-six".