315166112800 has 576 divisors, whose sum is σ = 997664145408. Its totient is φ = 94348800000.

The previous prime is 315166112761. The next prime is 315166112881. The reversal of 315166112800 is 8211661513.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288349054 + ... + 288350146.

It is an arithmetic number, because the mean of its divisors is an integer number (1732055808).

Almost surely, 2^315166112800 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 315166112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498832072704).

315166112800 is an abundant number, since it is smaller than the sum of its proper divisors (682498032608).

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

315166112800 is a wasteful number, since it uses less digits than its factorization.

315166112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 315166112800 in words is "three hundred fifteen billion, one hundred sixty-six million, one hundred twelve thousand, eight hundred".