313328575560 has 2304 divisors, whose sum is σ = 1438376486400. Its totient is φ = 53137244160.

The previous prime is 313328575519. The next prime is 313328575591. The reversal of 313328575560 is 65575823313.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8468339862 + ... + 8468339898.

It is an arithmetic number, because the mean of its divisors is an integer number (624295350).

Almost surely, 2^313328575560 is an apocalyptic number.

313328575560 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 313328575560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719188243200).

313328575560 is an abundant number, since it is smaller than the sum of its proper divisors (1125047910840).

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

313328575560 is a wasteful number, since it uses less digits than its factorization.

313328575560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

It can be divided in two parts, 313328 and 575560, that added together give a palindrome (888888).

The spelling of 313328575560 in words is "three hundred thirteen billion, three hundred twenty-eight million, five hundred seventy-five thousand, five hundred sixty".