11516642472960 has 264 divisors, whose sum is σ = 40832893427040. Its totient is φ = 2999683104768.

The previous prime is 11516642472943. The next prime is 11516642472971. The reversal of 11516642472960 is 6927424661511.

11516642472960 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 66 + 424 + 72 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11516642472897 and 11516642472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924690 + ... + 4887569.

It is an arithmetic number, because the mean of its divisors is an integer number (154670050860).

Almost surely, 2^{11516642472960} is an apocalyptic number.

11516642472960 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 11516642472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20416446713520).

11516642472960 is an abundant number, since it is smaller than the sum of its proper divisors (29316250954080).

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

11516642472960 is a wasteful number, since it uses less digits than its factorization.

11516642472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812333 (or 5812312 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11516642472960 in words is "eleven trillion, five hundred sixteen billion, six hundred forty-two million, four hundred seventy-two thousand, nine hundred sixty".