13217890730688 has 224 divisors, whose sum is σ = 44681771870720. Its totient is φ = 3753370690560.

The previous prime is 13217890730687. The next prime is 13217890730731. The reversal of 13217890730688 is 88603709871231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13217890730687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380343 + ... + 5323638.

Almost surely, 2^{13217890730688} is an apocalyptic number.

13217890730688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13217890730688 is an abundant number, since it is smaller than the sum of its proper divisors (31463881140032).

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

13217890730688 is a wasteful number, since it uses less digits than its factorization.

13217890730688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704172 (or 6704156 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 13217890730688 in words is "thirteen trillion, two hundred seventeen billion, eight hundred ninety million, seven hundred thirty thousand, six hundred eighty-eight".