11667908160 has 168 divisors, whose sum is σ = 40641544320. Its totient is φ = 3071996928.

The previous prime is 11667908159. The next prime is 11667908171. The reversal of 11667908160 is 6180976611.

It is a super-2 number, since 2×11667908160² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201879 + ... + 253161.

Almost surely, 2^11667908160 is an apocalyptic number.

11667908160 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 11667908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320772160).

11667908160 is an abundant number, since it is smaller than the sum of its proper divisors (28973636160).

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

11667908160 is a wasteful number, since it uses less digits than its factorization.

11667908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51385 (or 51372 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11667908160 in words is "eleven billion, six hundred sixty-seven million, nine hundred eight thousand, one hundred sixty".