11556275165136 has 240 divisors, whose sum is σ = 35068822326720. Its totient is φ = 3531404113920.

The previous prime is 11556275165111. The next prime is 11556275165137. The reversal of 11556275165136 is 63156157265511.

11556275165136 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 627 + 5 + 1 + 6 + 5 + 1 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11556275165137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173768851 + ... + 173835341.

It is an arithmetic number, because the mean of its divisors is an integer number (146120093028).

Almost surely, 2^{11556275165136} is an apocalyptic number.

11556275165136 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 11556275165136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534411163360).

11556275165136 is an abundant number, since it is smaller than the sum of its proper divisors (23512547161584).

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

11556275165136 is a wasteful number, since it uses less digits than its factorization.

11556275165136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67154 (or 67145 counting only the distinct ones).

The product of its digits is 5670000, while the sum is 54.

The spelling of 11556275165136 in words is "eleven trillion, five hundred fifty-six billion, two hundred seventy-five million, one hundred sixty-five thousand, one hundred thirty-six".