56580112800 has 108 divisors (see below), whose sum is σ = 199515648150. Its totient is φ = 15088028160.

The previous prime is 56580112763. The next prime is 56580112859. The reversal of 56580112800 is 821108565.

56580112800 is a `hidden beast` number, since 56 + 580 + 1 + 1 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 50716841616 + 5863271184 = 225204^2 + 76572^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3921975 + ... + 3936374.

Almost surely, 2^56580112800 is an apocalyptic number.

56580112800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56580112800 is an abundant number, since it is smaller than the sum of its proper divisors (142935535350).

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

56580112800 is a wasteful number, since it uses less digits than its factorization.

56580112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858375 (or 7858359 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 56580112800 in words is "fifty-six billion, five hundred eighty million, one hundred twelve thousand, eight hundred".