12568090752 has 384 divisors, whose sum is σ = 44680896000. Its totient is φ = 3377848320.

The previous prime is 12568090751. The next prime is 12568090757. The reversal of 12568090752 is 25709086521.

12568090752 is a `hidden beast` number, since 12 + 568 + 0 + 9 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12568090698 and 12568090707.

It is not an unprimeable number, because it can be changed into a prime (12568090751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6716377 + ... + 6718247.

It is an arithmetic number, because the mean of its divisors is an integer number (116356500).

Almost surely, 2^12568090752 is an apocalyptic number.

12568090752 is a gapful number since it is divisible by the number (12) 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 12568090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22340448000).

12568090752 is an abundant number, since it is smaller than the sum of its proper divisors (32112805248).

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

12568090752 is a wasteful number, since it uses less digits than its factorization.

12568090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12568090752 in words is "twelve billion, five hundred sixty-eight million, ninety thousand, seven hundred fifty-two".