315996825600 has 648 divisors, whose sum is σ = 1157044518630. Its totient is φ = 82417090560.

The previous prime is 315996825589. The next prime is 315996825611. The reversal of 315996825600 is 6528699513.

It is a happy number.

315996825600 is a `hidden beast` number, since 3 + 1 + 5 + 9 + 9 + 6 + 8 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (315996825589) and next prime (315996825611).

It can be written as a sum of positive squares in 3 ways, for example, as 301849150464 + 14147675136 = 549408^2 + 118944^2 .

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 53 ways as a sum of consecutive naturals, for example, 1604044702 + ... + 1604044898.

Almost surely, 2^315996825600 is an apocalyptic number.

315996825600 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 315996825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578522259315).

315996825600 is an abundant number, since it is smaller than the sum of its proper divisors (841047693030).

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

315996825600 is a wasteful number, since it uses less digits than its factorization.

315996825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 315996825600 in words is "three hundred fifteen billion, nine hundred ninety-six million, eight hundred twenty-five thousand, six hundred".