12825284924304 has 160 divisors (see below), whose sum is σ = 38816890560000. Its totient is φ = 4043188814976.

The previous prime is 12825284924297. The next prime is 12825284924317. The reversal of 12825284924304 is 40342948252821.

12825284924304 is a `hidden beast` number, since 1 + 2 + 8 + 252 + 84 + 9 + 2 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3487147 + ... + 6149045.

It is an arithmetic number, because the mean of its divisors is an integer number (242605566000).

Almost surely, 2^{12825284924304} 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 12825284924304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408445280000).

12825284924304 is an abundant number, since it is smaller than the sum of its proper divisors (25991605635696).

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

12825284924304 is a wasteful number, since it uses less digits than its factorization.

12825284924304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662522 (or 2662510 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 12825284924304 in words is "twelve trillion, eight hundred twenty-five billion, two hundred eighty-four million, nine hundred twenty-four thousand, three hundred four".