12433512960 has 960 divisors, whose sum is σ = 51476705280. Its totient is φ = 2846638080.

The previous prime is 12433512947. The next prime is 12433512991. The reversal of 12433512960 is 6921533421.

12433512960 is a `hidden beast` number, since 1 + 24 + 33 + 512 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157386201 + ... + 157386279.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^12433512960 is an apocalyptic number.

12433512960 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 12433512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

12433512960 is an abundant number, since it is smaller than the sum of its proper divisors (39043192320).

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

12433512960 is an equidigital number, since it uses as much as digits as its factorization.

12433512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12433512960 in words is "twelve billion, four hundred thirty-three million, five hundred twelve thousand, nine hundred sixty".