12517099096320 has 3456 divisors, whose sum is σ = 59397475737600. Its totient is φ = 2358592929792.

The previous prime is 12517099096309. The next prime is 12517099096451. The reversal of 12517099096320 is 2369099071521.

12517099096320 is a `hidden beast` number, since 1 + 2 + 517 + 0 + 9 + 9 + 0 + 96 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40772309607 + ... + 40772309913.

It is an arithmetic number, because the mean of its divisors is an integer number (17186769600).

Almost surely, 2^{12517099096320} is an apocalyptic number.

12517099096320 is a gapful number since it is divisible by the number (10) 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 12517099096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29698737868800).

12517099096320 is an abundant number, since it is smaller than the sum of its proper divisors (46880376641280).

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

12517099096320 is a wasteful number, since it uses less digits than its factorization.

12517099096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 12517099096320 in words is "twelve trillion, five hundred seventeen billion, ninety-nine million, ninety-six thousand, three hundred twenty".