11556117171216 has 120 divisors (see below), whose sum is σ = 32439850859520. Its totient is φ = 3840280320000.

The previous prime is 11556117171191. The next prime is 11556117171217. The reversal of 11556117171216 is 61217171165511.

11556117171216 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 611 + 7 + 1 + 7 + 1 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11556117171217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206807761 + ... + 206863631.

It is an arithmetic number, because the mean of its divisors is an integer number (270332090496).

Almost surely, 2^{11556117171216} is an apocalyptic number.

11556117171216 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 11556117171216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219925429760).

11556117171216 is an abundant number, since it is smaller than the sum of its proper divisors (20883733688304).

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

11556117171216 is a wasteful number, since it uses less digits than its factorization.

11556117171216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60245 (or 60236 counting only the distinct ones).

The product of its digits is 88200, while the sum is 45.

The spelling of 11556117171216 in words is "eleven trillion, five hundred fifty-six billion, one hundred seventeen million, one hundred seventy-one thousand, two hundred sixteen".