12781813588992 has 704 divisors, whose sum is σ = 44434035763200. Its totient is φ = 3554183577600.

The previous prime is 12781813588919. The next prime is 12781813588993. The reversal of 12781813588992 is 29988531818721.

12781813588992 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 181 + 358 + 8 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12781813588992.

It is not an unprimeable number, because it can be changed into a prime (12781813588993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1153275483 + ... + 1153286565.

Almost surely, 2^{12781813588992} is an apocalyptic number.

12781813588992 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 12781813588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217017881600).

12781813588992 is an abundant number, since it is smaller than the sum of its proper divisors (31652222174208).

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

12781813588992 is a wasteful number, since it uses less digits than its factorization.

12781813588992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11255 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 72.

The spelling of 12781813588992 in words is "twelve trillion, seven hundred eighty-one billion, eight hundred thirteen million, five hundred eighty-eight thousand, nine hundred ninety-two".