315879123775488 has 1560 divisors, whose sum is σ = 1094648277747024. Its totient is φ = 80527325921280.

The previous prime is 315879123775483. The next prime is 315879123775559. The reversal of 315879123775488 is 884577321978513.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315879123775483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 368587075156 + ... + 368587076012.

Almost surely, 2^{315879123775488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315879123775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547324138873512).

315879123775488 is an abundant number, since it is smaller than the sum of its proper divisors (778769153971536).

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

315879123775488 is an frugal number, since it uses more digits than its factorization.

315879123775488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 913 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 78.

The spelling of 315879123775488 in words is "three hundred fifteen trillion, eight hundred seventy-nine billion, one hundred twenty-three million, seven hundred seventy-five thousand, four hundred eighty-eight".