315657879552 has 544 divisors, whose sum is σ = 1012916688000. Its totient is φ = 96825507840.

The previous prime is 315657879529. The next prime is 315657879577. The reversal of 315657879552 is 255978756513.

315657879552 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 5 + 7 + 8 + 79 + 552 = 666.

Its product of digits (79380000) is a multiple of the sum of its prime divisors (294).

It is a self number, because there is not a number n which added to its sum of digits gives 315657879552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378418574 + ... + 1378418802.

Almost surely, 2^315657879552 is an apocalyptic number.

315657879552 is a gapful number since it is divisible by the number (32) 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 315657879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506458344000).

315657879552 is an abundant number, since it is smaller than the sum of its proper divisors (697258808448).

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

315657879552 is an equidigital number, since it uses as much as digits as its factorization.

315657879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 294 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 63.

The spelling of 315657879552 in words is "three hundred fifteen billion, six hundred fifty-seven million, eight hundred seventy-nine thousand, five hundred fifty-two".