13382081668800 has 1680 divisors, whose sum is σ = 54575502187360. Its totient is φ = 3214501355520.

The previous prime is 13382081668777. The next prime is 13382081668819. The reversal of 13382081668800 is 886618028331.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12243441054 + ... + 12243442146.

Almost surely, 2^{13382081668800} is an apocalyptic number.

13382081668800 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 13382081668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27287751093680).

13382081668800 is an abundant number, since it is smaller than the sum of its proper divisors (41193420518560).

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

13382081668800 is a wasteful number, since it uses less digits than its factorization.

13382081668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 13382081668800 in words is "thirteen trillion, three hundred eighty-two billion, eighty-one million, six hundred sixty-eight thousand, eight hundred".