56617535520 has 960 divisors, whose sum is σ = 250272481536. Its totient is φ = 11734917120.

The previous prime is 56617535509. The next prime is 56617535537. The reversal of 56617535520 is 2553571665.

56617535520 is a `hidden beast` number, since 5 + 6 + 61 + 7 + 535 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71940567 + ... + 71941353.

Almost surely, 2^56617535520 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 56617535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125136240768).

56617535520 is an abundant number, since it is smaller than the sum of its proper divisors (193654946016).

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

56617535520 is a wasteful number, since it uses less digits than its factorization.

56617535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 56617535520 in words is "fifty-six billion, six hundred seventeen million, five hundred thirty-five thousand, five hundred twenty".