312893923560 has 256 divisors, whose sum is σ = 1039495680000. Its totient is φ = 75026617344.

The previous prime is 312893923543. The next prime is 312893923567. The reversal of 312893923560 is 65329398213.

It is a super-2 number, since 2×312893923560² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312893923567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3860977 + ... + 3941183.

It is an arithmetic number, because the mean of its divisors is an integer number (4060530000).

Almost surely, 2^312893923560 is an apocalyptic number.

312893923560 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 312893923560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519747840000).

312893923560 is an abundant number, since it is smaller than the sum of its proper divisors (726601756440).

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

312893923560 is a wasteful number, since it uses less digits than its factorization.

312893923560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80328 (or 80324 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 312893923560 in words is "three hundred twelve billion, eight hundred ninety-three million, nine hundred twenty-three thousand, five hundred sixty".