12808125365760 has 240 divisors, whose sum is σ = 44530760781936. Its totient is φ = 3402208641024.

The previous prime is 12808125365663. The next prime is 12808125365779. The reversal of 12808125365760 is 6756352180821.

12808125365760 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 8 + 12 + 53 + 6 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12808125365697 and 12808125365706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4839747 + ... + 7002813.

Almost surely, 2^{12808125365760} is an apocalyptic number.

12808125365760 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 12808125365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22265380390968).

12808125365760 is an abundant number, since it is smaller than the sum of its proper divisors (31722635416176).

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

12808125365760 is a wasteful number, since it uses less digits than its factorization.

12808125365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163353 (or 2163334 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 12808125365760 in words is "twelve trillion, eight hundred eight billion, one hundred twenty-five million, three hundred sixty-five thousand, seven hundred sixty".