315722980800 has 504 divisors, whose sum is σ = 1135358359200. Its totient is φ = 83209052160.

The previous prime is 315722980759. The next prime is 315722980843. The reversal of 315722980800 is 8089227513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811627006 + ... + 811627394.

Almost surely, 2^315722980800 is an apocalyptic number.

315722980800 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 315722980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567679179600).

315722980800 is an abundant number, since it is smaller than the sum of its proper divisors (819635378400).

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

315722980800 is a wasteful number, since it uses less digits than its factorization.

315722980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 315722980800 in words is "three hundred fifteen billion, seven hundred twenty-two million, nine hundred eighty thousand, eight hundred".