12846320256000 has 2112 divisors, whose sum is σ = 54276098752512. Its totient is φ = 2639831040000.

The previous prime is 12846320255981. The next prime is 12846320256047. The reversal of 12846320256000 is 65202364821.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 12846320256000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41306495845 + ... + 41306496155.

Almost surely, 2^{12846320256000} is an apocalyptic number.

12846320256000 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 12846320256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27138049376256).

12846320256000 is an abundant number, since it is smaller than the sum of its proper divisors (41429778496512).

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

12846320256000 is a wasteful number, since it uses less digits than its factorization.

12846320256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 12846320256000 in words is "twelve trillion, eight hundred forty-six billion, three hundred twenty million, two hundred fifty-six thousand".