56977558560 has 576 divisors, whose sum is σ = 220851671040. Its totient is φ = 13277675520.

The previous prime is 56977558559. The next prime is 56977558577. The reversal of 56977558560 is 6585577965.

56977558560 is a `hidden beast` number, since 5 + 6 + 9 + 77 + 558 + 5 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27273996 + ... + 27276084.

It is an arithmetic number, because the mean of its divisors is an integer number (383423040).

Almost surely, 2^56977558560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56977558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110425835520).

56977558560 is an abundant number, since it is smaller than the sum of its proper divisors (163874112480).

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

56977558560 is a wasteful number, since it uses less digits than its factorization.

56977558560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 63.

The spelling of 56977558560 in words is "fifty-six billion, nine hundred seventy-seven million, five hundred fifty-eight thousand, five hundred sixty".