12825688246272 has 1152 divisors, whose sum is σ = 44204299776000. Its totient is φ = 3539386368000.

The previous prime is 12825688246249. The next prime is 12825688246331. The reversal of 12825688246272 is 27264288652821.

12825688246272 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 568 + 8 + 2 + 4 + 62 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25197815554 + ... + 25197816062.

It is an arithmetic number, because the mean of its divisors is an integer number (38371788000).

Almost surely, 2^{12825688246272} is an apocalyptic number.

12825688246272 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 12825688246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102149888000).

12825688246272 is an abundant number, since it is smaller than the sum of its proper divisors (31378611529728).

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

12825688246272 is a wasteful number, since it uses less digits than its factorization.

12825688246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 786 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 12825688246272 in words is "twelve trillion, eight hundred twenty-five billion, six hundred eighty-eight million, two hundred forty-six thousand, two hundred seventy-two".