11191026792 has 64 divisors (see below), whose sum is σ = 30620620800. Its totient is φ = 3380149440.

The previous prime is 11191026779. The next prime is 11191026827. The reversal of 11191026792 is 29762019111.

It is a super-2 number, since 2×11191026792² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11191026792.

It is an unprimeable number.

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, 12009 + ... + 150087.

It is an arithmetic number, because the mean of its divisors is an integer number (478447200).

Almost surely, 2^11191026792 is an apocalyptic number.

11191026792 is a gapful number since it is divisible by the number (12) 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 11191026792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310310400).

11191026792 is an abundant number, since it is smaller than the sum of its proper divisors (19429594008).

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

11191026792 is a wasteful number, since it uses less digits than its factorization.

11191026792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138406 (or 138402 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 39.

The spelling of 11191026792 in words is "eleven billion, one hundred ninety-one million, twenty-six thousand, seven hundred ninety-two".