13416268320 has 576 divisors, whose sum is σ = 57682969344. Its totient is φ = 2763694080.

The previous prime is 13416268241. The next prime is 13416268331. The reversal of 13416268320 is 2386261431.

13416268320 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 626 + 8 + 3 + 20 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5633530 + ... + 5635910.

It is an arithmetic number, because the mean of its divisors is an integer number (100144044).

Almost surely, 2^13416268320 is an apocalyptic number.

13416268320 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 13416268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28841484672).

13416268320 is an abundant number, since it is smaller than the sum of its proper divisors (44266701024).

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

13416268320 is a wasteful number, since it uses less digits than its factorization.

13416268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13416268320 in words is "thirteen billion, four hundred sixteen million, two hundred sixty-eight thousand, three hundred twenty".