56131294464 has 360 divisors, whose sum is σ = 201361307840. Its totient is φ = 15192686592.

The previous prime is 56131294451. The next prime is 56131294487. The reversal of 56131294464 is 46449213165.

56131294464 is a `hidden beast` number, since 5 + 61 + 3 + 129 + 4 + 464 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747712 + ... + 2768064.

Almost surely, 2^56131294464 is an apocalyptic number.

56131294464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56131294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100680653920).

56131294464 is an abundant number, since it is smaller than the sum of its proper divisors (145230013376).

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

56131294464 is a wasteful number, since it uses less digits than its factorization.

56131294464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407 (or 20384 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 56131294464 in words is "fifty-six billion, one hundred thirty-one million, two hundred ninety-four thousand, four hundred sixty-four".