12864844796640 has 384 divisors, whose sum is σ = 44563754188800. Its totient is φ = 3107325265920.

The previous prime is 12864844796579. The next prime is 12864844796653. The reversal of 12864844796640 is 4669744846821.

It is a congruent number.

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, 23191641 + ... + 23739879.

It is an arithmetic number, because the mean of its divisors is an integer number (116051443200).

Almost surely, 2^{12864844796640} is an apocalyptic number.

12864844796640 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 12864844796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22281877094400).

12864844796640 is an abundant number, since it is smaller than the sum of its proper divisors (31698909392160).

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

12864844796640 is a wasteful number, since it uses less digits than its factorization.

12864844796640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548390 (or 548382 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 12864844796640 in words is "twelve trillion, eight hundred sixty-four billion, eight hundred forty-four million, seven hundred ninety-six thousand, six hundred forty".