11165664605760 has 2016 divisors, whose sum is σ = 47492264476800. Its totient is φ = 2397080125440.

The previous prime is 11165664605759. The next prime is 11165664605773. The reversal of 11165664605760 is 6750646656111.

11165664605760 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 5 + 6 + 6 + 4 + 60 + 576 + 0 = 666.

11165664605760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 11165664605697 and 11165664605706.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31630777744 + ... + 31630778096.

Almost surely, 2^{11165664605760} is an apocalyptic number.

11165664605760 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 11165664605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23746132238400).

11165664605760 is an abundant number, since it is smaller than the sum of its proper divisors (36326599871040).

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

11165664605760 is a wasteful number, since it uses less digits than its factorization.

11165664605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 11165664605760 in words is "eleven trillion, one hundred sixty-five billion, six hundred sixty-four million, six hundred five thousand, seven hundred sixty".