312882883760 has 80 divisors (see below), whose sum is σ = 733291146720. Its totient is φ = 124149442560.

The previous prime is 312882883739. The next prime is 312882883787. The reversal of 312882883760 is 67388288213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 312882883696 and 312882883705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40165946 + ... + 40173734.

It is an arithmetic number, because the mean of its divisors is an integer number (9166139334).

Almost surely, 2^312882883760 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 312882883760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366645573360).

312882883760 is an abundant number, since it is smaller than the sum of its proper divisors (420408262960).

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

312882883760 is a wasteful number, since it uses less digits than its factorization.

312882883760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 312882883760 in words is "three hundred twelve billion, eight hundred eighty-two million, eight hundred eighty-three thousand, seven hundred sixty".