12800375171600 has 120 divisors (see below), whose sum is σ = 32415058011840. Its totient is φ = 4844137858560.

The previous prime is 12800375171533. The next prime is 12800375171641. The reversal of 12800375171600 is 617157300821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4513382 + ... + 6780218.

It is an arithmetic number, because the mean of its divisors is an integer number (270125483432).

Almost surely, 2^{12800375171600} is an apocalyptic number.

12800375171600 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 12800375171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207529005920).

12800375171600 is an abundant number, since it is smaller than the sum of its proper divisors (19614682840240).

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

12800375171600 is a wasteful number, since it uses less digits than its factorization.

12800375171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267617 (or 2267606 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 12800375171600 in words is "twelve trillion, eight hundred billion, three hundred seventy-five million, one hundred seventy-one thousand, six hundred".