12579093948960 has 5184 divisors, whose sum is σ = 62870447517696. Its totient is φ = 2345191833600.

The previous prime is 12579093948947. The next prime is 12579093948979. The reversal of 12579093948960 is 6984939097521.

12579093948960 is a `hidden beast` number, since 1 + 2 + 57 + 9 + 0 + 9 + 39 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 187747670847 + ... + 187747670913.

It is an arithmetic number, because the mean of its divisors is an integer number (12127786944).

It is a 1-persistent number, because it is pandigital, but 2⋅12579093948960 = 25158187897920 is not.

Almost surely, 2^{12579093948960} is an apocalyptic number.

12579093948960 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 12579093948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435223758848).

12579093948960 is an abundant number, since it is smaller than the sum of its proper divisors (50291353568736).

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

12579093948960 is a wasteful number, since it uses less digits than its factorization.

12579093948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 12579093948960 in words is "twelve trillion, five hundred seventy-nine billion, ninety-three million, nine hundred forty-eight thousand, nine hundred sixty".