315891428160 has 2016 divisors, whose sum is σ = 1419687198720. Its totient is φ = 59012997120.

The previous prime is 315891428159. The next prime is 315891428161. The reversal of 315891428160 is 61824198513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315891428159) and next prime (315891428161).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315891428161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2487334017 + ... + 2487334143.

It is an arithmetic number, because the mean of its divisors is an integer number (704209920).

Almost surely, 2^315891428160 is an apocalyptic number.

315891428160 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 315891428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709843599360).

315891428160 is an abundant number, since it is smaller than the sum of its proper divisors (1103795770560).

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

315891428160 is a wasteful number, since it uses less digits than its factorization.

315891428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 315891428160 in words is "three hundred fifteen billion, eight hundred ninety-one million, four hundred twenty-eight thousand, one hundred sixty".