13323484800 has 768 divisors, whose sum is σ = 53000179200. Its totient is φ = 3255828480.

The previous prime is 13323484777. The next prime is 13323484807. The reversal of 13323484800 is 848432331.

It is a happy number.

13323484800 is a `hidden beast` number, since 133 + 2 + 3 + 48 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13323484807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69033504 + ... + 69033696.

It is an arithmetic number, because the mean of its divisors is an integer number (69010650).

Almost surely, 2^13323484800 is an apocalyptic number.

13323484800 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 13323484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26500089600).

13323484800 is an abundant number, since it is smaller than the sum of its proper divisors (39676694400).

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

13323484800 is a wasteful number, since it uses less digits than its factorization.

13323484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13323484800 in words is "thirteen billion, three hundred twenty-three million, four hundred eighty-four thousand, eight hundred".