13276277278680 has 768 divisors, whose sum is σ = 45889161984000. Its totient is φ = 3062732414976.

The previous prime is 13276277278679. The next prime is 13276277278697. The reversal of 13276277278680 is 8687277267231.

13276277278680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18464919361 + ... + 18464920079.

It is an arithmetic number, because the mean of its divisors is an integer number (59751513000).

Almost surely, 2^{13276277278680} is an apocalyptic number.

13276277278680 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 13276277278680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944580992000).

13276277278680 is an abundant number, since it is smaller than the sum of its proper divisors (32612884705320).

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

13276277278680 is a wasteful number, since it uses less digits than its factorization.

13276277278680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 132765696, while the sum is 66.

The spelling of 13276277278680 in words is "thirteen trillion, two hundred seventy-six billion, two hundred seventy-seven million, two hundred seventy-eight thousand, six hundred eighty".