13068417448800 has 216 divisors, whose sum is σ = 52665722521776. Its totient is φ = 2987066833920.

The previous prime is 13068417448753. The next prime is 13068417448817. The reversal of 13068417448800 is 884471486031.

13068417448800 is a `hidden beast` number, since 1 + 30 + 6 + 84 + 17 + 448 + 80 + 0 = 666.

13068417448800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13068417448800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129596599 + ... + 129697398.

Almost surely, 2^{13068417448800} is an apocalyptic number.

13068417448800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13068417448800 is an abundant number, since it is smaller than the sum of its proper divisors (39597305072976).

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

13068417448800 is a wasteful number, since it uses less digits than its factorization.

13068417448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259294030 (or 259294014 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 13068417448800 in words is "thirteen trillion, sixty-eight billion, four hundred seventeen million, four hundred forty-eight thousand, eight hundred".