12572560000 has 640 divisors, whose sum is σ = 42290962560. Its totient is φ = 3594240000.

The previous prime is 12572559971. The next prime is 12572560073. The reversal of 12572560000 is 6527521.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80079922 + ... + 80080078.

It is an arithmetic number, because the mean of its divisors is an integer number (66079629).

Almost surely, 2^12572560000 is an apocalyptic number.

12572560000 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 12572560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21145481280).

12572560000 is an abundant number, since it is smaller than the sum of its proper divisors (29718402560).

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

12572560000 is a wasteful number, since it uses less digits than its factorization.

12572560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 12572560000 in words is "twelve billion, five hundred seventy-two million, five hundred sixty thousand".