315516564525240 has 256 divisors, whose sum is σ = 1133323228800000. Its totient is φ = 77617638941184.

The previous prime is 315516564525181. The next prime is 315516564525311. The reversal of 315516564525240 is 42525465615513.

315516564525240 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 1 + 6 + 5 + 64 + 52 + 524 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15790461 + ... + 29671059.

It is an arithmetic number, because the mean of its divisors is an integer number (4427043862500).

Almost surely, 2^{315516564525240} is an apocalyptic number.

315516564525240 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 315516564525240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566661614400000).

315516564525240 is an abundant number, since it is smaller than the sum of its proper divisors (817806664274760).

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

315516564525240 is a wasteful number, since it uses less digits than its factorization.

315516564525240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13882251 (or 13882241 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 315516564525240 in words is "three hundred fifteen trillion, five hundred sixteen billion, five hundred sixty-four million, five hundred twenty-five thousand, two hundred forty".