12829071705600 has 240 divisors, whose sum is σ = 44872982173008. Its totient is φ = 3219845283840.

The previous prime is 12829071705559. The next prime is 12829071705647. The reversal of 12829071705600 is 650717092821.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12829071705600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9173389 + ... + 10478988.

Almost surely, 2^{12829071705600} is an apocalyptic number.

12829071705600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12829071705600 is an abundant number, since it is smaller than the sum of its proper divisors (32043910467408).

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

12829071705600 is a wasteful number, since it uses less digits than its factorization.

12829071705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652425 (or 19652404 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 12829071705600 in words is "twelve trillion, eight hundred twenty-nine billion, seventy-one million, seven hundred five thousand, six hundred".