12856572960 has 768 divisors, whose sum is σ = 53415936000. Its totient is φ = 2574028800.

The previous prime is 12856572947. The next prime is 12856572973. The reversal of 12856572960 is 6927565821.

It is an interprime number because it is at equal distance from previous prime (12856572947) and next prime (12856572973).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56142126 + ... + 56142354.

It is an arithmetic number, because the mean of its divisors is an integer number (69552000).

Almost surely, 2^12856572960 is an apocalyptic number.

12856572960 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 12856572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707968000).

12856572960 is an abundant number, since it is smaller than the sum of its proper divisors (40559363040).

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

12856572960 is a wasteful number, since it uses less digits than its factorization.

12856572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 12856572960 in words is "twelve billion, eight hundred fifty-six million, five hundred seventy-two thousand, nine hundred sixty".