315120063362400 has 864 divisors, whose sum is σ = 1145586465773568. Its totient is φ = 81468325171200.

The previous prime is 315120063362389. The next prime is 315120063362473. The reversal of 315120063362400 is 4263360021513.

315120063362400 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 20 + 0 + 6 + 3 + 3 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16558240885 + ... + 16558259915.

It is an arithmetic number, because the mean of its divisors is an integer number (1325910261312).

Almost surely, 2^{315120063362400} is an apocalyptic number.

315120063362400 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 315120063362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572793232886784).

315120063362400 is an abundant number, since it is smaller than the sum of its proper divisors (830466402411168).

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

315120063362400 is a wasteful number, since it uses less digits than its factorization.

315120063362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19564 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 315120063362400 in words is "three hundred fifteen trillion, one hundred twenty billion, sixty-three million, three hundred sixty-two thousand, four hundred".