11187043920 has 320 divisors, whose sum is σ = 41837322240. Its totient is φ = 2731180032.

The previous prime is 11187043913. The next prime is 11187043951. The reversal of 11187043920 is 2934078111.

It is a happy number.

11187043920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3564592 + ... + 3567728.

It is an arithmetic number, because the mean of its divisors is an integer number (130741632).

Almost surely, 2^11187043920 is an apocalyptic number.

11187043920 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 11187043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918661120).

11187043920 is an abundant number, since it is smaller than the sum of its proper divisors (30650278320).

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

11187043920 is a wasteful number, since it uses less digits than its factorization.

11187043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11187043920 in words is "eleven billion, one hundred eighty-seven million, forty-three thousand, nine hundred twenty".