12704793494400 has 2304 divisors, whose sum is σ = 55966877890560. Its totient is φ = 2785564753920.

The previous prime is 12704793494387. The next prime is 12704793494441. The reversal of 12704793494400 is 449439740721.

It is a happy number.

12704793494400 is a `hidden beast` number, since 1 + 2 + 70 + 4 + 7 + 93 + 49 + 440 + 0 = 666.

It is a super-2 number, since 2×12704793494400² (a number of 27 digits) contains 22 as substring.

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, 13559010732 + ... + 13559011668.

It is an arithmetic number, because the mean of its divisors is an integer number (24291179640).

Almost surely, 2^{12704793494400} is an apocalyptic number.

12704793494400 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 12704793494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27983438945280).

12704793494400 is an abundant number, since it is smaller than the sum of its proper divisors (43262084396160).

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

12704793494400 is an equidigital number, since it uses as much as digits as its factorization.

12704793494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 12704793494400 in words is "twelve trillion, seven hundred four billion, seven hundred ninety-three million, four hundred ninety-four thousand, four hundred".