12872511680 has 168 divisors, whose sum is σ = 36192336048. Its totient is φ = 4347205632.

The previous prime is 12872511679. The next prime is 12872511689. The reversal of 12872511680 is 8611527821.

12872511680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12872511689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044434 + ... + 1056686.

Almost surely, 2^12872511680 is an apocalyptic number.

12872511680 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 12872511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096168024).

12872511680 is an abundant number, since it is smaller than the sum of its proper divisors (23319824368).

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

12872511680 is a wasteful number, since it uses less digits than its factorization.

12872511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 41.

The spelling of 12872511680 in words is "twelve billion, eight hundred seventy-two million, five hundred eleven thousand, six hundred eighty".