12579705600 has 864 divisors, whose sum is σ = 52945944576. Its totient is φ = 2554675200.

The previous prime is 12579705571. The next prime is 12579705601. The reversal of 12579705600 is 650797521.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12579705601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99052737 + ... + 99052863.

Almost surely, 2^12579705600 is an apocalyptic number.

12579705600 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 12579705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472972288).

12579705600 is an abundant number, since it is smaller than the sum of its proper divisors (40366238976).

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

12579705600 is a wasteful number, since it uses less digits than its factorization.

12579705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 12579705600 in words is "twelve billion, five hundred seventy-nine million, seven hundred five thousand, six hundred".