12579864570 has 576 divisors, whose sum is σ = 43646803200. Its totient is φ = 2592487296.

The previous prime is 12579864569. The next prime is 12579864611. The reversal of 12579864570 is 7546897521.

12579864570 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 9 + 8 + 64 + 570 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 292554969 + ... + 292555011.

It is an arithmetic number, because the mean of its divisors is an integer number (75775700).

Almost surely, 2^12579864570 is an apocalyptic number.

12579864570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12579864570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21823401600).

12579864570 is an abundant number, since it is smaller than the sum of its proper divisors (31066938630).

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

12579864570 is an frugal number, since it uses more digits than its factorization.

12579864570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12579864570 in words is "twelve billion, five hundred seventy-nine million, eight hundred sixty-four thousand, five hundred seventy".