12799713745728 has 3584 divisors, whose sum is σ = 54483609600000. Its totient is φ = 2907536228352.

The previous prime is 12799713745697. The next prime is 12799713745807. The reversal of 12799713745728 is 82754731799721.

12799713745728 is a `hidden beast` number, since 1 + 2 + 79 + 9 + 71 + 37 + 457 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 92084271483 + ... + 92084271621.

It is an arithmetic number, because the mean of its divisors is an integer number (15201900000).

Almost surely, 2^{12799713745728} is an apocalyptic number.

12799713745728 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 12799713745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241804800000).

12799713745728 is an abundant number, since it is smaller than the sum of its proper divisors (41683895854272).

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

12799713745728 is a wasteful number, since it uses less digits than its factorization.

12799713745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 72.

The spelling of 12799713745728 in words is "twelve trillion, seven hundred ninety-nine billion, seven hundred thirteen million, seven hundred forty-five thousand, seven hundred twenty-eight".