13317678720 has 256 divisors, whose sum is σ = 47274796800. Its totient is φ = 3543257088.

The previous prime is 13317678713. The next prime is 13317678757. The reversal of 13317678720 is 2787671331.

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 31 ways as a sum of consecutive naturals, for example, 13771677 + ... + 13772643.

It is an arithmetic number, because the mean of its divisors is an integer number (184667175).

Almost surely, 2^13317678720 is an apocalyptic number.

13317678720 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 13317678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637398400).

13317678720 is an abundant number, since it is smaller than the sum of its proper divisors (33957118080).

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

13317678720 is an equidigital number, since it uses as much as digits as its factorization.

13317678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 13317678720 in words is "thirteen billion, three hundred seventeen million, six hundred seventy-eight thousand, seven hundred twenty".