12917079504 has 160 divisors (see below), whose sum is σ = 43740692480. Its totient is φ = 3571516800.

The previous prime is 12917079481. The next prime is 12917079521. The reversal of 12917079504 is 40597071921.

12917079504 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 70 + 79 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12917079504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24849 + ... + 162639.

It is an arithmetic number, because the mean of its divisors is an integer number (273379328).

Almost surely, 2^12917079504 is an apocalyptic number.

12917079504 is a gapful number since it is divisible by the number (14) 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 12917079504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870346240).

12917079504 is an abundant number, since it is smaller than the sum of its proper divisors (30823612976).

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

12917079504 is a wasteful number, since it uses less digits than its factorization.

12917079504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137846 (or 137834 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12917079504 in words is "twelve billion, nine hundred seventeen million, seventy-nine thousand, five hundred four".