315516903840 has 864 divisors, whose sum is σ = 1170636038208. Its totient is φ = 77309337600.

The previous prime is 315516903829. The next prime is 315516903857. The reversal of 315516903840 is 48309615513.

315516903840 is a `hidden beast` number, since 3 + 1 + 5 + 516 + 90 + 3 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3801408439 + ... + 3801408521.

It is an arithmetic number, because the mean of its divisors is an integer number (1354902822).

Almost surely, 2^315516903840 is an apocalyptic number.

315516903840 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 315516903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585318019104).

315516903840 is an abundant number, since it is smaller than the sum of its proper divisors (855119134368).

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

315516903840 is a wasteful number, since it uses less digits than its factorization.

315516903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 315516903840 in words is "three hundred fifteen billion, five hundred sixteen million, nine hundred three thousand, eight hundred forty".