11165166160 has 40 divisors (see below), whose sum is σ = 27486015336. Its totient is φ = 4203356160.

The previous prime is 11165166127. The next prime is 11165166163. The reversal of 11165166160 is 6166156111.

It can be written as a sum of positive squares in 4 ways, for example, as 2765077056 + 8400089104 = 52584^2 + 91652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11165166163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4103481 + ... + 4106200.

Almost surely, 2^11165166160 is an apocalyptic number.

11165166160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11165166160 is an abundant number, since it is smaller than the sum of its proper divisors (16320849176).

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

11165166160 is a wasteful number, since it uses less digits than its factorization.

11165166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209711 (or 8209705 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11165166160 in words is "eleven billion, one hundred sixty-five million, one hundred sixty-six thousand, one hundred sixty".