12859106976 has 144 divisors (see below), whose sum is σ = 38570968800. Its totient is φ = 4052519424.

The previous prime is 12859106971. The next prime is 12859107029. The reversal of 12859106976 is 67960195821.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12859106971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3045795 + ... + 3050013.

It is an arithmetic number, because the mean of its divisors is an integer number (267853950).

Almost surely, 2^12859106976 is an apocalyptic number.

12859106976 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 12859106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285484400).

12859106976 is an abundant number, since it is smaller than the sum of its proper divisors (25711861824).

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

12859106976 is a wasteful number, since it uses less digits than its factorization.

12859106976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12859106976 in words is "twelve billion, eight hundred fifty-nine million, one hundred six thousand, nine hundred seventy-six".