312531596880 has 160 divisors (see below), whose sum is σ = 975486195840. Its totient is φ = 82771476480.

The previous prime is 312531596879. The next prime is 312531596903. The reversal of 312531596880 is 88695135213.

It is a happy number.

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, 98619936 + ... + 98623104.

It is an arithmetic number, because the mean of its divisors is an integer number (6096788724).

Almost surely, 2^312531596880 is an apocalyptic number.

312531596880 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 312531596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487743097920).

312531596880 is an abundant number, since it is smaller than the sum of its proper divisors (662954598960).

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

312531596880 is a wasteful number, since it uses less digits than its factorization.

312531596880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 312531596880 in words is "three hundred twelve billion, five hundred thirty-one million, five hundred ninety-six thousand, eight hundred eighty".