11533881120 has 192 divisors, whose sum is σ = 36720552960. Its totient is φ = 3043012608.

The previous prime is 11533881113. The next prime is 11533881133. The reversal of 11533881120 is 2118833511.

11533881120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 29649886 + ... + 29650274.

It is an arithmetic number, because the mean of its divisors is an integer number (191252880).

Almost surely, 2^11533881120 is an apocalyptic number.

11533881120 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 11533881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360276480).

11533881120 is an abundant number, since it is smaller than the sum of its proper divisors (25186671840).

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

11533881120 is a wasteful number, since it uses less digits than its factorization.

11533881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11533881120 in words is "eleven billion, five hundred thirty-three million, eight hundred eighty-one thousand, one hundred twenty".