12517258656 has 192 divisors, whose sum is σ = 38683975680. Its totient is φ = 3469132800.

The previous prime is 12517258639. The next prime is 12517258669. The reversal of 12517258656 is 65685271521.

It is a super-2 number, since 2×12517258656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11909331 + ... + 11910381.

It is an arithmetic number, because the mean of its divisors is an integer number (201479040).

Almost surely, 2^12517258656 is an apocalyptic number.

12517258656 is a gapful number since it is divisible by the number (16) 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 12517258656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341987840).

12517258656 is an abundant number, since it is smaller than the sum of its proper divisors (26166717024).

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

12517258656 is a wasteful number, since it uses less digits than its factorization.

12517258656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 48.

The spelling of 12517258656 in words is "twelve billion, five hundred seventeen million, two hundred fifty-eight thousand, six hundred fifty-six".