56131342560 has 144 divisors (see below), whose sum is σ = 202815836496. Its totient is φ = 14087860224.

The previous prime is 56131342549. The next prime is 56131342583. The reversal of 56131342560 is 6524313165.

56131342560 is a `hidden beast` number, since 5 + 61 + 3 + 1 + 34 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1121994 + ... + 1170953.

It is an arithmetic number, because the mean of its divisors is an integer number (1408443309).

Almost surely, 2^56131342560 is an apocalyptic number.

It is an amenable number.

56131342560 is an abundant number, since it is smaller than the sum of its proper divisors (146684493936).

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

56131342560 is a wasteful number, since it uses less digits than its factorization.

56131342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292985 (or 2292974 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56131342560 in words is "fifty-six billion, one hundred thirty-one million, three hundred forty-two thousand, five hundred sixty".