315904512000 has 832 divisors, whose sum is σ = 1311080030208. Its totient is φ = 65617920000.

The previous prime is 315904511987. The next prime is 315904512013. The reversal of 315904512000 is 215409513.

It is an interprime number because it is at equal distance from previous prime (315904511987) and next prime (315904512013).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118270665 + ... + 118273335.

It is an arithmetic number, because the mean of its divisors is an integer number (1575817344).

Almost surely, 2^315904512000 is an apocalyptic number.

315904512000 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 315904512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655540015104).

315904512000 is an abundant number, since it is smaller than the sum of its proper divisors (995175518208).

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

315904512000 is a wasteful number, since it uses less digits than its factorization.

315904512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 315904512000 in words is "three hundred fifteen billion, nine hundred four million, five hundred twelve thousand".