12536813600 has 72 divisors (see below), whose sum is σ = 31432745988. Its totient is φ = 4879180800.

The previous prime is 12536813587. The next prime is 12536813617. The reversal of 12536813600 is 631863521.

It can be written as a sum of positive squares in 6 ways, for example, as 4246346896 + 8290466704 = 65164^2 + 91052^2 .

It is a super-2 number, since 2×12536813600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182171 + ... + 241370.

Almost surely, 2^12536813600 is an apocalyptic number.

12536813600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12536813600 is an abundant number, since it is smaller than the sum of its proper divisors (18895932388).

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

12536813600 is a wasteful number, since it uses less digits than its factorization.

12536813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423598 (or 423585 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12536813600 in words is "twelve billion, five hundred thirty-six million, eight hundred thirteen thousand, six hundred".