11513947766160 has 240 divisors, whose sum is σ = 42486305184576. Its totient is φ = 2570555667456.

The previous prime is 11513947766147. The next prime is 11513947766171. The reversal of 11513947766160 is 6166774931511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11513947766160² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11513947766160.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10878939 + ... + 11890298.

Almost surely, 2^{11513947766160} is an apocalyptic number.

11513947766160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11513947766160 is an abundant number, since it is smaller than the sum of its proper divisors (30972357418416).

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

11513947766160 is a wasteful number, since it uses less digits than its factorization.

11513947766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22769310 (or 22769297 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 11513947766160 in words is "eleven trillion, five hundred thirteen billion, nine hundred forty-seven million, seven hundred sixty-six thousand, one hundred sixty".