11616512160 has 192 divisors, whose sum is σ = 40111593984. Its totient is φ = 2802508800.

The previous prime is 11616512153. The next prime is 11616512161. The reversal of 11616512160 is 6121561611.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11616512161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108867 + ... + 1119293.

It is an arithmetic number, because the mean of its divisors is an integer number (208914552).

Almost surely, 2^11616512160 is an apocalyptic number.

11616512160 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 11616512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055796992).

11616512160 is an abundant number, since it is smaller than the sum of its proper divisors (28495081824).

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

11616512160 is a wasteful number, since it uses less digits than its factorization.

11616512160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10667 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

It can be divided in two parts, 11616 and 512160, that added together give a triangular number (523776 = T₁₀₂₃).

The spelling of 11616512160 in words is "eleven billion, six hundred sixteen million, five hundred twelve thousand, one hundred sixty".