12895938035712 has 600 divisors, whose sum is σ = 42111959662080. Its totient is φ = 3915062968320.

The previous prime is 12895938035707. The next prime is 12895938035719. The reversal of 12895938035712 is 21753083959821.

12895938035712 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 59 + 3 + 8 + 0 + 3 + 571 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12895938035712.

It is not an unprimeable number, because it can be changed into a prime (12895938035719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 699374589 + ... + 699393027.

Almost surely, 2^{12895938035712} is an apocalyptic number.

12895938035712 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 12895938035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055979831040).

12895938035712 is an abundant number, since it is smaller than the sum of its proper divisors (29216021626368).

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

12895938035712 is an equidigital number, since it uses as much as digits as its factorization.

12895938035712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18527 (or 18492 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 12895938035712 in words is "twelve trillion, eight hundred ninety-five billion, nine hundred thirty-eight million, thirty-five thousand, seven hundred twelve".