12825491228928 has 576 divisors, whose sum is σ = 44011661783040. Its totient is φ = 3653478328320.

The previous prime is 12825491228911. The next prime is 12825491228939. The reversal of 12825491228928 is 82982219452821.

12825491228928 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 549 + 1 + 2 + 2 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1359924373 + ... + 1359933803.

It is an arithmetic number, because the mean of its divisors is an integer number (76409135040).

Almost surely, 2^{12825491228928} is an apocalyptic number.

12825491228928 is a gapful number since it is divisible by the number (18) 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 12825491228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22005830891520).

12825491228928 is an abundant number, since it is smaller than the sum of its proper divisors (31186170554112).

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

12825491228928 is an frugal number, since it uses more digits than its factorization.

12825491228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822 (or 9790 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 12825491228928 in words is "twelve trillion, eight hundred twenty-five billion, four hundred ninety-one million, two hundred twenty-eight thousand, nine hundred twenty-eight".