315557475072 has 288 divisors, whose sum is σ = 1035471693312. Its totient is φ = 83253460992.

The previous prime is 315557475071. The next prime is 315557475109. The reversal of 315557475072 is 270574755513.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (315557475071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4811203 + ... + 4876349.

It is an arithmetic number, because the mean of its divisors is an integer number (3595387824).

Almost surely, 2^315557475072 is an apocalyptic number.

315557475072 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 315557475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517735846656).

315557475072 is an abundant number, since it is smaller than the sum of its proper divisors (719914218240).

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

315557475072 is a wasteful number, since it uses less digits than its factorization.

315557475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65243 (or 65229 counting only the distinct ones).

The product of its (nonzero) digits is 5145000, while the sum is 51.

The spelling of 315557475072 in words is "three hundred fifteen billion, five hundred fifty-seven million, four hundred seventy-five thousand, seventy-two".