13320125280 has 864 divisors, whose sum is σ = 58308187392. Its totient is φ = 2709780480.

The previous prime is 13320125279. The next prime is 13320125303. The reversal of 13320125280 is 8252102331.

13320125280 is a `hidden beast` number, since 1 + 332 + 0 + 1 + 252 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81718479 + ... + 81718641.

It is an arithmetic number, because the mean of its divisors is an integer number (67486328).

Almost surely, 2^13320125280 is an apocalyptic number.

13320125280 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 13320125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29154093696).

13320125280 is an abundant number, since it is smaller than the sum of its proper divisors (44988062112).

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

13320125280 is a wasteful number, since it uses less digits than its factorization.

13320125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13320125280 in words is "thirteen billion, three hundred twenty million, one hundred twenty-five thousand, two hundred eighty".