12838128076800 has 864 divisors, whose sum is σ = 51667914916800. Its totient is φ = 3022724136960.

The previous prime is 12838128076751. The next prime is 12838128076843. The reversal of 12838128076800 is 867082183821.

12838128076800 is a `hidden beast` number, since 1 + 283 + 8 + 1 + 280 + 7 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137732611 + ... + 137825789.

It is an arithmetic number, because the mean of its divisors is an integer number (59800827450).

Almost surely, 2^{12838128076800} is an apocalyptic number.

12838128076800 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 12838128076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833957458400).

12838128076800 is an abundant number, since it is smaller than the sum of its proper divisors (38829786840000).

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

12838128076800 is a wasteful number, since it uses less digits than its factorization.

12838128076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93253 (or 93225 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 12838128076800 in words is "twelve trillion, eight hundred thirty-eight billion, one hundred twenty-eight million, seventy-six thousand, eight hundred".