56057254600 has 48 divisors (see below), whose sum is σ = 130349157120. Its totient is φ = 22420142400.

The previous prime is 56057254567. The next prime is 56057254601. The reversal of 56057254600 is 645275065.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (56057254601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2609905 + ... + 2631295.

It is an arithmetic number, because the mean of its divisors is an integer number (2715607440).

Almost surely, 2^56057254600 is an apocalyptic number.

56057254600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56057254600 is an abundant number, since it is smaller than the sum of its proper divisors (74291902520).

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

56057254600 is a wasteful number, since it uses less digits than its factorization.

56057254600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34510 (or 34501 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 56057254600 in words is "fifty-six billion, fifty-seven million, two hundred fifty-four thousand, six hundred".