12875581056 has 256 divisors, whose sum is σ = 38779453440. Its totient is φ = 3755372544.

The previous prime is 12875581027. The next prime is 12875581063. The reversal of 12875581056 is 65018557821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12875580996 and 12875581014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14581191 + ... + 14582073.

It is an arithmetic number, because the mean of its divisors is an integer number (151482240).

Almost surely, 2^12875581056 is an apocalyptic number.

12875581056 is a gapful number since it is divisible by the number (16) 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 12875581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389726720).

12875581056 is an abundant number, since it is smaller than the sum of its proper divisors (25903872384).

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

12875581056 is a wasteful number, since it uses less digits than its factorization.

12875581056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 12875581056 in words is "twelve billion, eight hundred seventy-five million, five hundred eighty-one thousand, fifty-six".