12572710560 has 144 divisors (see below), whose sum is σ = 43817469696. Its totient is φ = 3281370624.

The previous prime is 12572710559. The next prime is 12572710573. The reversal of 12572710560 is 6501727521.

12572710560 is a `hidden beast` number, since 1 + 25 + 7 + 2 + 71 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25204 + ... + 160563.

It is an arithmetic number, because the mean of its divisors is an integer number (304287984).

Almost surely, 2^12572710560 is an apocalyptic number.

12572710560 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 12572710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908734848).

12572710560 is an abundant number, since it is smaller than the sum of its proper divisors (31244759136).

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

12572710560 is a wasteful number, since it uses less digits than its factorization.

12572710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185835 (or 185824 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 12572710560 in words is "twelve billion, five hundred seventy-two million, seven hundred ten thousand, five hundred sixty".