56580130080 has 72 divisors (see below), whose sum is σ = 193079698812. Its totient is φ = 15088034304.

The previous prime is 56580130027. The next prime is 56580130121. The reversal of 56580130080 is 8003108565.

56580130080 is a `hidden beast` number, since 565 + 8 + 0 + 13 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55099111824 + 1481018256 = 234732^2 + 38484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×56580130080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19644439 + ... + 19647318.

Almost surely, 2^56580130080 is an apocalyptic number.

It is an amenable number.

56580130080 is an abundant number, since it is smaller than the sum of its proper divisors (136499568732).

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

56580130080 is a wasteful number, since it uses less digits than its factorization.

56580130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39291778 (or 39291767 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 56580130080 in words is "fifty-six billion, five hundred eighty million, one hundred thirty thousand, eighty".