12725892960 has 384 divisors, whose sum is σ = 47029248000. Its totient is φ = 2859448320.

The previous prime is 12725892943. The next prime is 12725893057. The reversal of 12725892960 is 6929852721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4713691 + ... + 4716389.

It is an arithmetic number, because the mean of its divisors is an integer number (122472000).

Almost surely, 2^12725892960 is an apocalyptic number.

12725892960 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 12725892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624000).

12725892960 is an abundant number, since it is smaller than the sum of its proper divisors (34303355040).

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

12725892960 is a wasteful number, since it uses less digits than its factorization.

12725892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 12725892960 in words is "twelve billion, seven hundred twenty-five million, eight hundred ninety-two thousand, nine hundred sixty".