12928256640 has 768 divisors, whose sum is σ = 52414128000. Its totient is φ = 3001909248.

The previous prime is 12928256573. The next prime is 12928256689. The reversal of 12928256640 is 4665282921.

12928256640 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 82 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55485964 + ... + 55486196.

Almost surely, 2^12928256640 is an apocalyptic number.

12928256640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12928256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26207064000).

12928256640 is an abundant number, since it is smaller than the sum of its proper divisors (39485871360).

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

12928256640 is a wasteful number, since it uses less digits than its factorization.

12928256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12928256640 in words is "twelve billion, nine hundred twenty-eight million, two hundred fifty-six thousand, six hundred forty".