56318708160 has 896 divisors, whose sum is σ = 236778393600. Its totient is φ = 12421693440.

The previous prime is 56318708119. The next prime is 56318708197. The reversal of 56318708160 is 6180781365.

56318708160 is a `hidden beast` number, since 5 + 631 + 8 + 7 + 0 + 8 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×56318708160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97605792 + ... + 97606368.

It is an arithmetic number, because the mean of its divisors is an integer number (264261600).

Almost surely, 2^56318708160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56318708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118389196800).

56318708160 is an abundant number, since it is smaller than the sum of its proper divisors (180459685440).

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

56318708160 is a wasteful number, since it uses less digits than its factorization.

56318708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 563187081 and 60, that added together give a triangular number (563187141 = T₃₃₅₆₁).

The spelling of 56318708160 in words is "fifty-six billion, three hundred eighteen million, seven hundred eight thousand, one hundred sixty".