12515968633728 has 256 divisors, whose sum is σ = 38612395261440. Its totient is φ = 3518232330240.

The previous prime is 12515968633703. The next prime is 12515968633781. The reversal of 12515968633728 is 82733686951521.

It is a super-3 number, since 3×12515968633728³ (a number of 40 digits) contains 333 as substring.

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, 53651676 + ... + 53884452.

It is an arithmetic number, because the mean of its divisors is an integer number (150829668990).

Almost surely, 2^{12515968633728} 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 12515968633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19306197630720).

12515968633728 is an abundant number, since it is smaller than the sum of its proper divisors (26096426627712).

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

12515968633728 is a wasteful number, since it uses less digits than its factorization.

12515968633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233125 (or 233113 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 12515968633728 in words is "twelve trillion, five hundred fifteen billion, nine hundred sixty-eight million, six hundred thirty-three thousand, seven hundred twenty-eight".