12825992874240 has 1944 divisors, whose sum is σ = 57070933028928. Its totient is φ = 2704047390720.

The previous prime is 12825992874239. The next prime is 12825992874269. The reversal of 12825992874240 is 4247829952821.

12825992874240 is a `hidden beast` number, since 1 + 2 + 8 + 25 + 99 + 287 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 9934927995 + ... + 9934929285.

Almost surely, 2^{12825992874240} is an apocalyptic number.

12825992874240 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 12825992874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28535466514464).

12825992874240 is an abundant number, since it is smaller than the sum of its proper divisors (44244940154688).

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

12825992874240 is an frugal number, since it uses more digits than its factorization.

12825992874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 12825992874240 in words is "twelve trillion, eight hundred twenty-five billion, nine hundred ninety-two million, eight hundred seventy-four thousand, two hundred forty".