13280280960 has 512 divisors, whose sum is σ = 46531584000. Its totient is φ = 3211591680.

The previous prime is 13280280953. The next prime is 13280280973. The reversal of 13280280960 is 6908208231.

It is a happy number.

It is a super-3 number, since 3×13280280960³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121837386 + ... + 121837494.

It is an arithmetic number, because the mean of its divisors is an integer number (90882000).

Almost surely, 2^13280280960 is an apocalyptic number.

13280280960 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 13280280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265792000).

13280280960 is an abundant number, since it is smaller than the sum of its proper divisors (33251303040).

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

13280280960 is a wasteful number, since it uses less digits than its factorization.

13280280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13280280960 in words is "thirteen billion, two hundred eighty million, two hundred eighty thousand, nine hundred sixty".