12875563769700 has 288 divisors, whose sum is σ = 39730417090560. Its totient is φ = 3208185446400.

The previous prime is 12875563769681. The next prime is 12875563769723. The reversal of 12875563769700 is 796736557821.

It is a super-2 number, since 2×12875563769700² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412253085 + ... + 412284315.

It is an arithmetic number, because the mean of its divisors is an integer number (137952837120).

Almost surely, 2^{12875563769700} is an apocalyptic number.

12875563769700 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 12875563769700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865208545280).

12875563769700 is an abundant number, since it is smaller than the sum of its proper divisors (26854853320860).

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

12875563769700 is a wasteful number, since it uses less digits than its factorization.

12875563769700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31847 (or 31840 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 12875563769700 in words is "twelve trillion, eight hundred seventy-five billion, five hundred sixty-three million, seven hundred sixty-nine thousand, seven hundred".