13084297200 has 480 divisors, whose sum is σ = 51398585280. Its totient is φ = 3140812800.

The previous prime is 13084297151. The next prime is 13084297207. The reversal of 13084297200 is 279248031.

13084297200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084297207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5755264 + ... + 5757536.

It is an arithmetic number, because the mean of its divisors is an integer number (107080386).

Almost surely, 2^13084297200 is an apocalyptic number.

13084297200 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 13084297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25699292640).

13084297200 is an abundant number, since it is smaller than the sum of its proper divisors (38314288080).

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

13084297200 is a wasteful number, since it uses less digits than its factorization.

13084297200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13084297200 in words is "thirteen billion, eighty-four million, two hundred ninety-seven thousand, two hundred".