13342255200 has 216 divisors, whose sum is σ = 48791361528. Its totient is φ = 3557882880.

The previous prime is 13342255193. The next prime is 13342255211. The reversal of 13342255200 is 255224331.

It is a happy number.

13342255200 is a `hidden beast` number, since 1 + 33 + 422 + 5 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 160084 + ... + 228716.

It is an arithmetic number, because the mean of its divisors is an integer number (225885933).

Almost surely, 2^13342255200 is an apocalyptic number.

13342255200 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 13342255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395680764).

13342255200 is an abundant number, since it is smaller than the sum of its proper divisors (35449106328).

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

13342255200 is an equidigital number, since it uses as much as digits as its factorization.

13342255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68668 (or 68643 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13342255200 its reverse (255224331), we get a palindrome (13597479531).

The spelling of 13342255200 in words is "thirteen billion, three hundred forty-two million, two hundred fifty-five thousand, two hundred".