12725856000 has 1152 divisors, whose sum is σ = 55711918080. Its totient is φ = 2820096000.

The previous prime is 12725855969. The next prime is 12725856029. The reversal of 12725856000 is 65852721.

It is a happy number.

12725856000 is a `hidden beast` number, since 1 + 2 + 72 + 585 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123551949 + ... + 123552051.

It is an arithmetic number, because the mean of its divisors is an integer number (48361040).

Almost surely, 2^12725856000 is an apocalyptic number.

12725856000 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 12725856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855959040).

12725856000 is an abundant number, since it is smaller than the sum of its proper divisors (42986062080).

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

12725856000 is a wasteful number, since it uses less digits than its factorization.

12725856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12725856000 in words is "twelve billion, seven hundred twenty-five million, eight hundred fifty-six thousand".