13301616268800 has 1680 divisors, whose sum is σ = 51685662196080. Its totient is φ = 3387539128320.

The previous prime is 13301616268789. The next prime is 13301616268861. The reversal of 13301616268800 is 886261610331.

13301616268800 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 616 + 26 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20370009274 + ... + 20370009926.

Almost surely, 2^{13301616268800} is an apocalyptic number.

13301616268800 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 13301616268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842831098040).

13301616268800 is an abundant number, since it is smaller than the sum of its proper divisors (38384045927280).

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

13301616268800 is an frugal number, since it uses more digits than its factorization.

13301616268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13301616268800 in words is "thirteen trillion, three hundred one billion, six hundred sixteen million, two hundred sixty-eight thousand, eight hundred".