13200064466688 has 720 divisors, whose sum is σ = 43480366465536. Its totient is φ = 3949770055680.

The previous prime is 13200064466627. The next prime is 13200064466713. The reversal of 13200064466688 is 88666446000231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11817425106 + ... + 11817426222.

Almost surely, 2^{13200064466688} is an apocalyptic number.

13200064466688 is a gapful number since it is divisible by the number (18) 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 13200064466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740183232768).

13200064466688 is an abundant number, since it is smaller than the sum of its proper divisors (30280301998848).

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

13200064466688 is a wasteful number, since it uses less digits than its factorization.

13200064466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 13200064466688 in words is "thirteen trillion, two hundred billion, sixty-four million, four hundred sixty-six thousand, six hundred eighty-eight".