12891576672 has 216 divisors, whose sum is σ = 40806484992. Its totient is φ = 3837611520.

The previous prime is 12891576653. The next prime is 12891576679. The reversal of 12891576672 is 27667519821.

12891576672 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 576 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891576679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3596193 + ... + 3599775.

It is an arithmetic number, because the mean of its divisors is an integer number (188918912).

Almost surely, 2^12891576672 is an apocalyptic number.

12891576672 is a gapful number since it is divisible by the number (12) 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 12891576672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403242496).

12891576672 is an abundant number, since it is smaller than the sum of its proper divisors (27914908320).

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

12891576672 is a wasteful number, since it uses less digits than its factorization.

12891576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3632 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 12891576672 in words is "twelve billion, eight hundred ninety-one million, five hundred seventy-six thousand, six hundred seventy-two".