13376657280 has 512 divisors, whose sum is σ = 50444467200. Its totient is φ = 2952069120.

The previous prime is 13376657257. The next prime is 13376657297. The reversal of 13376657280 is 8275667331.

13376657280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63396375 + ... + 63396585.

It is an arithmetic number, because the mean of its divisors is an integer number (98524350).

Almost surely, 2^13376657280 is an apocalyptic number.

13376657280 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 13376657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222233600).

13376657280 is an abundant number, since it is smaller than the sum of its proper divisors (37067809920).

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

13376657280 is a wasteful number, since it uses less digits than its factorization.

13376657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 13376657280 in words is "thirteen billion, three hundred seventy-six million, six hundred fifty-seven thousand, two hundred eighty".