315800519483904 has 2880 divisors, whose sum is σ = 1156143262095360. Its totient is φ = 75879984660480.

The previous prime is 315800519483831. The next prime is 315800519483929. The reversal of 315800519483904 is 409384915008513.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 1496684926359 + ... + 1496684926569.

It is an arithmetic number, because the mean of its divisors is an integer number (401438632672).

Almost surely, 2^{315800519483904} is an apocalyptic number.

315800519483904 is a gapful number since it is divisible by the number (34) 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 315800519483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578071631047680).

315800519483904 is an abundant number, since it is smaller than the sum of its proper divisors (840342742611456).

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

315800519483904 is a wasteful number, since it uses less digits than its factorization.

315800519483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 315800519483904 in words is "three hundred fifteen trillion, eight hundred billion, five hundred nineteen million, four hundred eighty-three thousand, nine hundred four".