12688759830000 has 400 divisors, whose sum is σ = 43120434044160. Its totient is φ = 3207891456000.

The previous prime is 12688759829987. The next prime is 12688759830011. The reversal of 12688759830000 is 3895788621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×12688759830000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77888631 + ... + 78051369.

Almost surely, 2^{12688759830000} is an apocalyptic number.

12688759830000 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 12688759830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21560217022080).

12688759830000 is an abundant number, since it is smaller than the sum of its proper divisors (30431674214160).

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

12688759830000 is a wasteful number, since it uses less digits than its factorization.

12688759830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162906 (or 162885 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 12688759830000 in words is "twelve trillion, six hundred eighty-eight billion, seven hundred fifty-nine million, eight hundred thirty thousand".