11191088960 has 112 divisors (see below), whose sum is σ = 26988698880. Its totient is φ = 4419717120.

The previous prime is 11191088957. The next prime is 11191089023. The reversal of 11191088960 is 6988019111.

It is a super-2 number, since 2×11191088960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10018322 + ... + 10019438.

Almost surely, 2^11191088960 is an apocalyptic number.

11191088960 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 11191088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494349440).

11191088960 is an abundant number, since it is smaller than the sum of its proper divisors (15797609920).

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

11191088960 is a wasteful number, since it uses less digits than its factorization.

11191088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 44.

The spelling of 11191088960 in words is "eleven billion, one hundred ninety-one million, eighty-eight thousand, nine hundred sixty".