11189090920 has 128 divisors (see below), whose sum is σ = 29376691200. Its totient is φ = 3756211200.

The previous prime is 11189090897. The next prime is 11189090921. The reversal of 11189090920 is 2909098111.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11189090921) 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, 4080750 + ... + 4083490.

It is an arithmetic number, because the mean of its divisors is an integer number (229505400).

Almost surely, 2^11189090920 is an apocalyptic number.

11189090920 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 11189090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688345600).

11189090920 is an abundant number, since it is smaller than the sum of its proper divisors (18187600280).

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

11189090920 is a wasteful number, since it uses less digits than its factorization.

11189090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 11189090920 in words is "eleven billion, one hundred eighty-nine million, ninety thousand, nine hundred twenty".