11165659920 has 160 divisors (see below), whose sum is σ = 38493786240. Its totient is φ = 2974855680.

The previous prime is 11165659877. The next prime is 11165659931. The reversal of 11165659920 is 2995656111.

It is a happy number.

11165659920 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 56 + 599 + 2 + 0 = 666.

It is a super-2 number, since 2×11165659920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4169622 + ... + 4172298.

It is an arithmetic number, because the mean of its divisors is an integer number (240586164).

Almost surely, 2^11165659920 is an apocalyptic number.

11165659920 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 11165659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19246893120).

11165659920 is an abundant number, since it is smaller than the sum of its proper divisors (27328126320).

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

11165659920 is a wasteful number, since it uses less digits than its factorization.

11165659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 11165659920 in words is "eleven billion, one hundred sixty-five million, six hundred fifty-nine thousand, nine hundred twenty".