11181104880 has 160 divisors (see below), whose sum is σ = 37868290560. Its totient is φ = 2706570240.

The previous prime is 11181104801. The next prime is 11181104887. The reversal of 11181104880 is 8840118111.

11181104880 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11181104887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2037981 + ... + 2043459.

It is an arithmetic number, because the mean of its divisors is an integer number (236676816).

Almost surely, 2^11181104880 is an apocalyptic number.

11181104880 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 11181104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934145280).

11181104880 is an abundant number, since it is smaller than the sum of its proper divisors (26687185680).

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

11181104880 is a wasteful number, since it uses less digits than its factorization.

11181104880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 33.

The spelling of 11181104880 in words is "eleven billion, one hundred eighty-one million, one hundred four thousand, eight hundred eighty".