12318517580160 has 128 divisors (see below), whose sum is σ = 42834845295360. Its totient is φ = 2986307287040.

The previous prime is 12318517580141. The next prime is 12318517580167. The reversal of 12318517580160 is 6108571581321.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318517580167) by changing a digit.

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, 291610452 + ... + 291652691.

It is an arithmetic number, because the mean of its divisors is an integer number (334647228870).

Almost surely, 2^{12318517580160} is an apocalyptic number.

12318517580160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12318517580160 is an abundant number, since it is smaller than the sum of its proper divisors (30516327715200).

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

12318517580160 is a wasteful number, since it uses less digits than its factorization.

12318517580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583263176 (or 583263164 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 12318517580160 in words is "twelve trillion, three hundred eighteen billion, five hundred seventeen million, five hundred eighty thousand, one hundred sixty".