13281883560 has 192 divisors, whose sum is σ = 47143399680. Its totient is φ = 3216222720.

The previous prime is 13281883553. The next prime is 13281883597. The reversal of 13281883560 is 6538818231.

13281883560 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 8 + 83 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5633902 + ... + 5636258.

It is an arithmetic number, because the mean of its divisors is an integer number (245538540).

Almost surely, 2^13281883560 is an apocalyptic number.

13281883560 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 13281883560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23571699840).

13281883560 is an abundant number, since it is smaller than the sum of its proper divisors (33861516120).

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

13281883560 is a wasteful number, since it uses less digits than its factorization.

13281883560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13281883560 in words is "thirteen billion, two hundred eighty-one million, eight hundred eighty-three thousand, five hundred sixty".