13284564800 has 168 divisors, whose sum is σ = 35369220600. Its totient is φ = 4881899520.

The previous prime is 13284564791. The next prime is 13284564827. The reversal of 13284564800 is 846548231.

13284564800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2060433664 + 11224131136 = 45392^2 + 105944^2 .

It is a super-3 number, since 3×13284564800³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4761806 + ... + 4764594.

It is an arithmetic number, because the mean of its divisors is an integer number (210531075).

Almost surely, 2^13284564800 is an apocalyptic number.

13284564800 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 13284564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684610300).

13284564800 is an abundant number, since it is smaller than the sum of its proper divisors (22084655800).

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

13284564800 is a wasteful number, since it uses less digits than its factorization.

13284564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 13284564800 in words is "thirteen billion, two hundred eighty-four million, five hundred sixty-four thousand, eight hundred".