12605008768 has 256 divisors, whose sum is σ = 30119947200. Its totient is φ = 5190451200.

The previous prime is 12605008733. The next prime is 12605008789. The reversal of 12605008768 is 86780050621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129948496 + ... + 129948592.

Almost surely, 2^12605008768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12605008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059973600).

12605008768 is an abundant number, since it is smaller than the sum of its proper divisors (17514938432).

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

12605008768 is a wasteful number, since it uses less digits than its factorization.

12605008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 12605008768 in words is "twelve billion, six hundred five million, eight thousand, seven hundred sixty-eight".