13283536873200 has 240 divisors, whose sum is σ = 46457750620800. Its totient is φ = 3217627212800.

The previous prime is 13283536873093. The next prime is 13283536873223. The reversal of 13283536873200 is 237863538231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15813391 + ... + 16632209.

It is an arithmetic number, because the mean of its divisors is an integer number (193573960920).

Almost surely, 2^{13283536873200} is an apocalyptic number.

13283536873200 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 13283536873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23228875310400).

13283536873200 is an abundant number, since it is smaller than the sum of its proper divisors (33174213747600).

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

13283536873200 is a wasteful number, since it uses less digits than its factorization.

13283536873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820080 (or 820069 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 13283536873200 in words is "thirteen trillion, two hundred eighty-three billion, five hundred thirty-six million, eight hundred seventy-three thousand, two hundred".