13228368800 has 72 divisors (see below), whose sum is σ = 32373513900. Its totient is φ = 5278279680.

The previous prime is 13228368793. The next prime is 13228368809. The reversal of 13228368800 is 886382231.

It can be written as a sum of positive squares in 6 ways, for example, as 10560439696 + 2667929104 = 102764^2 + 51652^2 .

It is a super-2 number, since 2×13228368800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13228368809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306986 + ... + 347414.

Almost surely, 2^13228368800 is an apocalyptic number.

13228368800 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 13228368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186756950).

13228368800 is an abundant number, since it is smaller than the sum of its proper divisors (19145145100).

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

13228368800 is a wasteful number, since it uses less digits than its factorization.

13228368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40858 (or 40845 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 13228368800 in words is "thirteen billion, two hundred twenty-eight million, three hundred sixty-eight thousand, eight hundred".