12536663040 has 264 divisors, whose sum is σ = 47390146128. Its totient is φ = 3039068160.

The previous prime is 12536663033. The next prime is 12536663057. The reversal of 12536663040 is 4036663521.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 12536662986 and 12536663004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494514 + ... + 519246.

Almost surely, 2^12536663040 is an apocalyptic number.

12536663040 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 12536663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23695073064).

12536663040 is an abundant number, since it is smaller than the sum of its proper divisors (34853483088).

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

12536663040 is a wasteful number, since it uses less digits than its factorization.

12536663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24775 (or 24754 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

It can be divided in two parts, 12536 and 663040, that added together give a palindrome (675576).

The spelling of 12536663040 in words is "twelve billion, five hundred thirty-six million, six hundred sixty-three thousand, forty".