315699098400 has 1152 divisors, whose sum is σ = 1389871042560. Its totient is φ = 67511992320.

The previous prime is 315699098389. The next prime is 315699098413. The reversal of 315699098400 is 4890996513.

315699098400 is a `hidden beast` number, since 3 + 1 + 5 + 69 + 90 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 676014967 + ... + 676015433.

It is an arithmetic number, because the mean of its divisors is an integer number (1206485280).

Almost surely, 2^315699098400 is an apocalyptic number.

315699098400 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 315699098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694935521280).

315699098400 is an abundant number, since it is smaller than the sum of its proper divisors (1074171944160).

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

315699098400 is a wasteful number, since it uses less digits than its factorization.

315699098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 315699098400 in words is "three hundred fifteen billion, six hundred ninety-nine million, ninety-eight thousand, four hundred".