13580706720 has 288 divisors, whose sum is σ = 50400403200. Its totient is φ = 3064449024.

The previous prime is 13580706701. The next prime is 13580706731. The reversal of 13580706720 is 2760708531.

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, 1854426 + ... + 1861734.

It is an arithmetic number, because the mean of its divisors is an integer number (175001400).

Almost surely, 2^13580706720 is an apocalyptic number.

13580706720 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 13580706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200201600).

13580706720 is an abundant number, since it is smaller than the sum of its proper divisors (36819696480).

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

13580706720 is a wasteful number, since it uses less digits than its factorization.

13580706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 13580706720 in words is "thirteen billion, five hundred eighty million, seven hundred six thousand, seven hundred twenty".