13256981680 has 80 divisors (see below), whose sum is σ = 31784822784. Its totient is φ = 5139429120.

The previous prime is 13256981659. The next prime is 13256981681. The reversal of 13256981680 is 8618965231.

13256981680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13256981681) 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 15 ways as a sum of consecutive naturals, for example, 370165 + ... + 404395.

Almost surely, 2^13256981680 is an apocalyptic number.

13256981680 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 13256981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892411392).

13256981680 is an abundant number, since it is smaller than the sum of its proper divisors (18527841104).

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

13256981680 is a wasteful number, since it uses less digits than its factorization.

13256981680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34394 (or 34388 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 13256981680 in words is "thirteen billion, two hundred fifty-six million, nine hundred eighty-one thousand, six hundred eighty".