56317317120 has 520 divisors, whose sum is σ = 213865896024. Its totient is φ = 14127464448.

The previous prime is 56317317109. The next prime is 56317317139. The reversal of 56317317120 is 2171371365.

56317317120 is a `hidden beast` number, since 5 + 6 + 317 + 317 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1358954496 + 54958362624 = 36864^2 + 234432^2 .

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28199962 + ... + 28201958.

Almost surely, 2^56317317120 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 56317317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106932948012).

56317317120 is an abundant number, since it is smaller than the sum of its proper divisors (157548578904).

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

56317317120 is a wasteful number, since it uses less digits than its factorization.

56317317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

Adding to 56317317120 its reverse (2171371365), we get a palindrome (58488688485).

The spelling of 56317317120 in words is "fifty-six billion, three hundred seventeen million, three hundred seventeen thousand, one hundred twenty".