11733889920 has 128 divisors (see below), whose sum is σ = 38412865440. Its totient is φ = 3044450304.

The previous prime is 11733889879. The next prime is 11733889997. The reversal of 11733889920 is 2998833711.

11733889920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 11547 + ... + 153626.

Almost surely, 2^11733889920 is an apocalyptic number.

11733889920 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 11733889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206432720).

11733889920 is an abundant number, since it is smaller than the sum of its proper divisors (26678975520).

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

11733889920 is a wasteful number, since it uses less digits than its factorization.

11733889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165232 (or 165220 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 11733889920 in words is "eleven billion, seven hundred thirty-three million, eight hundred eighty-nine thousand, nine hundred twenty".