56572464960 has 896 divisors, whose sum is σ = 226595635200. Its totient is φ = 13168189440.

The previous prime is 56572464953. The next prime is 56572464961. The reversal of 56572464960 is 6946427565.

56572464960 is a `hidden beast` number, since 5 + 6 + 572 + 4 + 6 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56572464897 and 56572464906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56572464961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445452417 + ... + 445452543.

Almost surely, 2^56572464960 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 56572464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113297817600).

56572464960 is an abundant number, since it is smaller than the sum of its proper divisors (170023170240).

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

56572464960 is a wasteful number, since it uses less digits than its factorization.

56572464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 56572464960 in words is "fifty-six billion, five hundred seventy-two million, four hundred sixty-four thousand, nine hundred sixty".