312878956320 has 288 divisors, whose sum is σ = 1221996222720. Its totient is φ = 71411558400.

The previous prime is 312878956319. The next prime is 312878956339. The reversal of 312878956320 is 23659878213.

312878956320 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 78 + 9 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7043941 + ... + 7088219.

It is an arithmetic number, because the mean of its divisors is an integer number (4243042440).

Almost surely, 2^312878956320 is an apocalyptic number.

312878956320 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 312878956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610998111360).

312878956320 is an abundant number, since it is smaller than the sum of its proper divisors (909117266400).

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

312878956320 is a wasteful number, since it uses less digits than its factorization.

312878956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45008 (or 44997 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 312878956320 in words is "three hundred twelve billion, eight hundred seventy-eight million, nine hundred fifty-six thousand, three hundred twenty".