13228000858800 has 1080 divisors, whose sum is σ = 57603274092000. Its totient is φ = 2786299084800.

The previous prime is 13228000858799. The next prime is 13228000858817. The reversal of 13228000858800 is 885800082231.

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

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 215 ways as a sum of consecutive naturals, for example, 1469936701 + ... + 1469945699.

It is an arithmetic number, because the mean of its divisors is an integer number (53336364900).

Almost surely, 2^{13228000858800} is an apocalyptic number.

13228000858800 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 13228000858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28801637046000).

13228000858800 is an abundant number, since it is smaller than the sum of its proper divisors (44375273233200).

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

13228000858800 is a wasteful number, since it uses less digits than its factorization.

13228000858800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9691 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 13228000858800 in words is "thirteen trillion, two hundred twenty-eight billion, eight hundred fifty-eight thousand, eight hundred".