12643807881600 has 2304 divisors, whose sum is σ = 57190034603520. Its totient is φ = 2692481679360.

The previous prime is 12643807881571. The next prime is 12643807881613. The reversal of 12643807881600 is 618870834621.

12643807881600 is a `hidden beast` number, since 1 + 2 + 6 + 438 + 0 + 78 + 81 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9901180162 + ... + 9901181438.

It is an arithmetic number, because the mean of its divisors is an integer number (24822063630).

Almost surely, 2^{12643807881600} is an apocalyptic number.

12643807881600 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 12643807881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28595017301760).

12643807881600 is an abundant number, since it is smaller than the sum of its proper divisors (44546226721920).

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

12643807881600 is a wasteful number, since it uses less digits than its factorization.

12643807881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12643807881600 in words is "twelve trillion, six hundred forty-three billion, eight hundred seven million, eight hundred eighty-one thousand, six hundred".