13050591550200 has 480 divisors, whose sum is σ = 46807244204160. Its totient is φ = 3366566323200.

The previous prime is 13050591550151. The next prime is 13050591550211. The reversal of 13050591550200 is 205519505031.

13050591550200 is a `hidden beast` number, since 1 + 3 + 0 + 50 + 59 + 1 + 550 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2308610574 + ... + 2308616226.

It is an arithmetic number, because the mean of its divisors is an integer number (97515092092).

Almost surely, 2^{13050591550200} is an apocalyptic number.

13050591550200 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 13050591550200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403622102080).

13050591550200 is an abundant number, since it is smaller than the sum of its proper divisors (33756652653960).

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

13050591550200 is a wasteful number, since it uses less digits than its factorization.

13050591550200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 13050591550200 in words is "thirteen trillion, fifty billion, five hundred ninety-one million, five hundred fifty thousand, two hundred".