11832668160 has 312 divisors, whose sum is σ = 39381672720. Its totient is φ = 3033268224.

The previous prime is 11832668137. The next prime is 11832668167. The reversal of 11832668160 is 6186623811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11832668167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51670926 + ... + 51671154.

It is an arithmetic number, because the mean of its divisors is an integer number (126223310).

Almost surely, 2^11832668160 is an apocalyptic number.

11832668160 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 11832668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19690836360).

11832668160 is an abundant number, since it is smaller than the sum of its proper divisors (27549004560).

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

11832668160 is an equidigital number, since it uses as much as digits as its factorization.

11832668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 11832668160 in words is "eleven billion, eight hundred thirty-two million, six hundred sixty-eight thousand, one hundred sixty".