315165380050872 has 320 divisors, whose sum is σ = 956803455115200. Its totient is φ = 96347745423360.

The previous prime is 315165380050823. The next prime is 315165380050987. The reversal of 315165380050872 is 278050083561513.

315165380050872 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 6 + 53 + 80 + 0 + 508 + 7 + 2 = 666.

It is a super-2 number, since 2×315165380050872² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3040060254 + ... + 3040163922.

It is an arithmetic number, because the mean of its divisors is an integer number (2990010797235).

Almost surely, 2^{315165380050872} 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 315165380050872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478401727557600).

315165380050872 is an abundant number, since it is smaller than the sum of its proper divisors (641638075064328).

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

315165380050872 is a wasteful number, since it uses less digits than its factorization.

315165380050872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106028 (or 106015 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 315165380050872 in words is "three hundred fifteen trillion, one hundred sixty-five billion, three hundred eighty million, fifty thousand, eight hundred seventy-two".