11166965376 has 256 divisors, whose sum is σ = 34903388160. Its totient is φ = 3097276416.

The previous prime is 11166965371. The next prime is 11166965393. The reversal of 11166965376 is 67356966111.

It is a super-2 number, since 2×11166965376² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11166965371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19834471 + ... + 19835033.

It is an arithmetic number, because the mean of its divisors is an integer number (136341360).

Almost surely, 2^11166965376 is an apocalyptic number.

11166965376 is a gapful number since it is divisible by the number (16) 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 11166965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451694080).

11166965376 is an abundant number, since it is smaller than the sum of its proper divisors (23736422784).

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

11166965376 is a wasteful number, since it uses less digits than its factorization.

11166965376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The spelling of 11166965376 in words is "eleven billion, one hundred sixty-six million, nine hundred sixty-five thousand, three hundred seventy-six".