11517611025612 has 192 divisors, whose sum is σ = 28454944573440. Its totient is φ = 3622131302400.

The previous prime is 11517611025587. The next prime is 11517611025637. The reversal of 11517611025612 is 21652011671511.

11517611025612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11517611025587) and next prime (11517611025637).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445697812 + ... + 445723652.

It is an arithmetic number, because the mean of its divisors is an integer number (148202836320).

Almost surely, 2^{11517611025612} is an apocalyptic number.

11517611025612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11517611025612 is an abundant number, since it is smaller than the sum of its proper divisors (16937333547828).

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

11517611025612 is a wasteful number, since it uses less digits than its factorization.

11517611025612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26192 (or 26190 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 39.

The spelling of 11517611025612 in words is "eleven trillion, five hundred seventeen billion, six hundred eleven million, twenty-five thousand, six hundred twelve".