11085972688 has 80 divisors (see below), whose sum is σ = 25313129856. Its totient is φ = 4605120000.

The previous prime is 11085972683. The next prime is 11085972701. The reversal of 11085972688 is 88627958011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085972683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481438 + ... + 503938.

Almost surely, 2^11085972688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11085972688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656564928).

11085972688 is an abundant number, since it is smaller than the sum of its proper divisors (14227157168).

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

11085972688 is a wasteful number, since it uses less digits than its factorization.

11085972688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22652 (or 22646 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 55.

The spelling of 11085972688 in words is "eleven billion, eighty-five million, nine hundred seventy-two thousand, six hundred eighty-eight".