11789388160 has 96 divisors (see below), whose sum is σ = 30979317600. Its totient is φ = 4287022080.

The previous prime is 11789388151. The next prime is 11789388179. The reversal of 11789388160 is 6188398711.

11789388160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11789388098 and 11789388107.

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 11 ways as a sum of consecutive naturals, for example, 1321 + ... + 153559.

It is an arithmetic number, because the mean of its divisors is an integer number (322701225).

Almost surely, 2^11789388160 is an apocalyptic number.

11789388160 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 11789388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489658800).

11789388160 is an abundant number, since it is smaller than the sum of its proper divisors (19189929440).

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

11789388160 is a wasteful number, since it uses less digits than its factorization.

11789388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152280 (or 152257 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 11789388160 in words is "eleven billion, seven hundred eighty-nine million, three hundred eighty-eight thousand, one hundred sixty".