56580900 has 36 divisors (see below), whose sum is σ = 163708272. Its totient is φ = 15088160.

The previous prime is 56580893. The next prime is 56580929. The reversal of 56580900 is 908565.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94002 + ... + 94601.

It is an arithmetic number, because the mean of its divisors is an integer number (4547452).

Almost surely, 2^56580900 is an apocalyptic number.

56580900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56580900 is an abundant number, since it is smaller than the sum of its proper divisors (107127372).

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

56580900 is a wasteful number, since it uses less digits than its factorization.

56580900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188620 (or 188613 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 56580900 is about 7522.0276521693. The cubic root of 56580900 is about 383.9045715560.

The spelling of 56580900 in words is "fifty-six million, five hundred eighty thousand, nine hundred".