315978122800 has 120 divisors (see below), whose sum is σ = 804065563296. Its totient is φ = 118916075520.

The previous prime is 315978122737. The next prime is 315978122821. The reversal of 315978122800 is 8221879513.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26629669 + ... + 26641531.

Almost surely, 2^315978122800 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 315978122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402032781648).

315978122800 is an abundant number, since it is smaller than the sum of its proper divisors (488087440496).

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

315978122800 is a wasteful number, since it uses less digits than its factorization.

315978122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 315978122800 in words is "three hundred fifteen billion, nine hundred seventy-eight million, one hundred twenty-two thousand, eight hundred".