11516002032960 has 84 divisors (see below), whose sum is σ = 39610248669108. Its totient is φ = 3070933874688.

The previous prime is 11516002032959. The next prime is 11516002032961. The reversal of 11516002032960 is 6923020061511.

11516002032960 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 600 + 20 + 3 + 29 + 6 + 0 = 666.

11516002032960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11516002032959) and next prime (11516002032961).

It can be written as a sum of positive squares in 2 ways, for example, as 7670418280704 + 3845583752256 = 2769552^2 + 1961016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516002032961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999303029 + ... + 1999308788.

Almost surely, 2^{11516002032960} is an apocalyptic number.

11516002032960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11516002032960 is an abundant number, since it is smaller than the sum of its proper divisors (28094246636148).

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

11516002032960 is a wasteful number, since it uses less digits than its factorization.

11516002032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998611840 (or 3998611827 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11516002032960 in words is "eleven trillion, five hundred sixteen billion, two million, thirty-two thousand, nine hundred sixty".