12560391724608 has 448 divisors, whose sum is σ = 46373938240000. Its totient is φ = 3312628752384.

The previous prime is 12560391724591. The next prime is 12560391724613. The reversal of 12560391724608 is 80642719306521.

It is a happy number.

12560391724608 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 0 + 3 + 9 + 1 + 7 + 24 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12560391724608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6890088 + ... + 8520216.

It is an arithmetic number, because the mean of its divisors is an integer number (103513255000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12560391724608 = 25120783449216, but 3⋅12560391724608 = 37681175173824 is not.

Almost surely, 2^{12560391724608} is an apocalyptic number.

12560391724608 is a gapful number since it is divisible by the number (18) 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 12560391724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186969120000).

12560391724608 is an abundant number, since it is smaller than the sum of its proper divisors (33813546515392).

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

12560391724608 is a wasteful number, since it uses less digits than its factorization.

12560391724608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630184 (or 1630154 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12560391724608 in words is "twelve trillion, five hundred sixty billion, three hundred ninety-one million, seven hundred twenty-four thousand, six hundred eight".