12877513890680 has 128 divisors (see below), whose sum is σ = 29534122800000. Its totient is φ = 5052287385600.

The previous prime is 12877513890599. The next prime is 12877513890733. The reversal of 12877513890680 is 8609831577821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826480490 + ... + 826496070.

It is an arithmetic number, because the mean of its divisors is an integer number (230735334375).

Almost surely, 2^{12877513890680} is an apocalyptic number.

12877513890680 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 12877513890680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767061400000).

12877513890680 is an abundant number, since it is smaller than the sum of its proper divisors (16656608909320).

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

12877513890680 is a wasteful number, since it uses less digits than its factorization.

12877513890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17145 (or 17141 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 65.

The spelling of 12877513890680 in words is "twelve trillion, eight hundred seventy-seven billion, five hundred thirteen million, eight hundred ninety thousand, six hundred eighty".