315995840160 has 768 divisors, whose sum is σ = 1340229058560. Its totient is φ = 60440002560.

The previous prime is 315995840143. The next prime is 315995840189. The reversal of 315995840160 is 61048599513.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230149234 + ... + 230150606.

It is an arithmetic number, because the mean of its divisors is an integer number (1745089920).

Almost surely, 2^315995840160 is an apocalyptic number.

315995840160 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 315995840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670114529280).

315995840160 is an abundant number, since it is smaller than the sum of its proper divisors (1024233218400).

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

315995840160 is a wasteful number, since it uses less digits than its factorization.

315995840160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 315995840160 in words is "three hundred fifteen billion, nine hundred ninety-five million, eight hundred forty thousand, one hundred sixty".