56588304960 has 672 divisors, whose sum is σ = 229061589120. Its totient is φ = 12673843200.

The previous prime is 56588304937. The next prime is 56588305019. The reversal of 56588304960 is 6940388565.

It is a happy number.

56588304960 is a `hidden beast` number, since 56 + 588 + 3 + 0 + 4 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56588304897 and 56588304906.

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, 24677574 + ... + 24679866.

It is an arithmetic number, because the mean of its divisors is an integer number (340865460).

Almost surely, 2^56588304960 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 56588304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114530794560).

56588304960 is an abundant number, since it is smaller than the sum of its proper divisors (172473284160).

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

56588304960 is a wasteful number, since it uses less digits than its factorization.

56588304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56588304960 in words is "fifty-six billion, five hundred eighty-eight million, three hundred four thousand, nine hundred sixty".