12840512813568 has 960 divisors, whose sum is σ = 43176086553600. Its totient is φ = 3663221760000.

The previous prime is 12840512813449. The next prime is 12840512813621. The reversal of 12840512813568 is 86531821504821.

12840512813568 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 5 + 1 + 281 + 356 + 8 = 666.

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, 29249459493 + ... + 29249459931.

It is an arithmetic number, because the mean of its divisors is an integer number (44975090160).

Almost surely, 2^{12840512813568} is an apocalyptic number.

12840512813568 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 12840512813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21588043276800).

12840512813568 is an abundant number, since it is smaller than the sum of its proper divisors (30335573740032).

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

12840512813568 is a wasteful number, since it uses less digits than its factorization.

12840512813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 12840512813568 in words is "twelve trillion, eight hundred forty billion, five hundred twelve million, eight hundred thirteen thousand, five hundred sixty-eight".