12579840000 has 1120 divisors, whose sum is σ = 57322151040. Its totient is φ = 2654208000.

The previous prime is 12579839981. The next prime is 12579840019. The reversal of 12579840000 is 4897521.

12579840000 is a `hidden beast` number, since 1 + 2 + 579 + 84 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12579839981) and next prime (12579840019).

It is a tau number, because it is divible by the number of its divisors (1120).

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 79 ways as a sum of consecutive naturals, for example, 967679994 + ... + 967680006.

It is an arithmetic number, because the mean of its divisors is an integer number (51180492).

Almost surely, 2^12579840000 is an apocalyptic number.

12579840000 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 12579840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28661075520).

12579840000 is an abundant number, since it is smaller than the sum of its proper divisors (44742311040).

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

12579840000 is an frugal number, since it uses more digits than its factorization.

12579840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12579840000 in words is "twelve billion, five hundred seventy-nine million, eight hundred forty thousand".