56556560 has 40 divisors (see below), whose sum is σ = 131807040. Its totient is φ = 22568832.

The previous prime is 56556553. The next prime is 56556571. The reversal of 56556560 is 6565565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65411 + ... + 66269.

It is an arithmetic number, because the mean of its divisors is an integer number (3295176).

Almost surely, 2^56556560 is an apocalyptic number.

It is an amenable number.

56556560 is an abundant number, since it is smaller than the sum of its proper divisors (75250480).

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

56556560 is a wasteful number, since it uses less digits than its factorization.

56556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The square root of 56556560 is about 7520.4095633150. The cubic root of 56556560 is about 383.8495142399.

The spelling of 56556560 in words is "fifty-six million, five hundred fifty-six thousand, five hundred sixty".