56638402600 has 48 divisors (see below), whose sum is σ = 141813853020. Its totient is φ = 20912640000.

The previous prime is 56638402571. The next prime is 56638402627. The reversal of 56638402600 is 620483665.

It is a happy number.

56638402600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8984385796 + 47654016804 = 94786^2 + 218298^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 10889401 + ... + 10894600.

Almost surely, 2^56638402600 is an apocalyptic number.

56638402600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56638402600 is an abundant number, since it is smaller than the sum of its proper divisors (85175450420).

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

56638402600 is a wasteful number, since it uses less digits than its factorization.

56638402600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21784030 (or 21784021 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 56638402600 in words is "fifty-six billion, six hundred thirty-eight million, four hundred two thousand, six hundred".