13609313280 has 352 divisors, whose sum is σ = 51218887680. Its totient is φ = 3415080960.

The previous prime is 13609313231. The next prime is 13609313287. The reversal of 13609313280 is 8231390631.

13609313280 is a `hidden beast` number, since 1 + 3 + 60 + 9 + 313 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13609313287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2347185 + ... + 2352975.

Almost surely, 2^13609313280 is an apocalyptic number.

13609313280 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 13609313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25609443840).

13609313280 is an abundant number, since it is smaller than the sum of its proper divisors (37609574400).

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

13609313280 is a wasteful number, since it uses less digits than its factorization.

13609313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13609313280 in words is "thirteen billion, six hundred nine million, three hundred thirteen thousand, two hundred eighty".