12793358304720 has 240 divisors, whose sum is σ = 50920725448320. Its totient is φ = 2924196152832.

The previous prime is 12793358304691. The next prime is 12793358304731. The reversal of 12793358304720 is 2740385339721.

It is a happy number.

12793358304720 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 33 + 583 + 0 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46870675 + ... + 47142834.

It is an arithmetic number, because the mean of its divisors is an integer number (212169689368).

Almost surely, 2^{12793358304720} is an apocalyptic number.

12793358304720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12793358304720 is an abundant number, since it is smaller than the sum of its proper divisors (38127367143600).

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

12793358304720 is an equidigital number, since it uses as much as digits as its factorization.

12793358304720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94013544 (or 94013526 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 12793358304720 in words is "twelve trillion, seven hundred ninety-three billion, three hundred fifty-eight million, three hundred four thousand, seven hundred twenty".