12384092160 has 480 divisors, whose sum is σ = 48128169600. Its totient is φ = 2996305920.

The previous prime is 12384092159. The next prime is 12384092173. The reversal of 12384092160 is 6129048321.

12384092160 is a `hidden beast` number, since 1 + 2 + 38 + 409 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24329986 + ... + 24330494.

It is an arithmetic number, because the mean of its divisors is an integer number (100267020).

Almost surely, 2^12384092160 is an apocalyptic number.

12384092160 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 12384092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064084800).

12384092160 is an abundant number, since it is smaller than the sum of its proper divisors (35744077440).

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

12384092160 is an equidigital number, since it uses as much as digits as its factorization.

12384092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 123840 and 92160, that added together give a cube (216000 = 60³).

The spelling of 12384092160 in words is "twelve billion, three hundred eighty-four million, ninety-two thousand, one hundred sixty".