12564179530320 has 80 divisors (see below), whose sum is σ = 42489770784192. Its totient is φ = 3045861703680.

The previous prime is 12564179530303. The next prime is 12564179530327. The reversal of 12564179530320 is 2303597146521.

12564179530320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12564179530320² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12564179530320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564179530327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379576817 + ... + 2379582096.

Almost surely, 2^{12564179530320} is an apocalyptic number.

12564179530320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12564179530320 is an abundant number, since it is smaller than the sum of its proper divisors (29925591253872).

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

12564179530320 is a wasteful number, since it uses less digits than its factorization.

12564179530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759158940 (or 4759158934 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 12564179530320 in words is "twelve trillion, five hundred sixty-four billion, one hundred seventy-nine million, five hundred thirty thousand, three hundred twenty".