316557160920 has 1536 divisors, whose sum is σ = 1461274214400. Its totient is φ = 57306009600.

The previous prime is 316557160919. The next prime is 316557160943. The reversal of 316557160920 is 29061755613.

316557160920 is a `hidden beast` number, since 3 + 1 + 6 + 557 + 1 + 6 + 0 + 92 + 0 = 666.

It is a super-2 number, since 2×316557160920² (a number of 24 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 480359551 + ... + 480360209.

It is an arithmetic number, because the mean of its divisors is an integer number (951350400).

Almost surely, 2^316557160920 is an apocalyptic number.

316557160920 is a gapful number since it is divisible by the number (30) 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 316557160920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730637107200).

316557160920 is an abundant number, since it is smaller than the sum of its proper divisors (1144717053480).

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

316557160920 is a wasteful number, since it uses less digits than its factorization.

316557160920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 316557160920 in words is "three hundred sixteen billion, five hundred fifty-seven million, one hundred sixty thousand, nine hundred twenty".