205545105500200 has 384 divisors, whose sum is σ = 517024288327680. Its totient is φ = 75771706982400.

The previous prime is 205545105500191. The next prime is 205545105500219. The reversal of 205545105500200 is 2005501545502.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59873317684 + ... + 59873321116.

It is an arithmetic number, because the mean of its divisors is an integer number (1346417417520).

Almost surely, 2^{205545105500200} is an apocalyptic number.

205545105500200 is a gapful number since it is divisible by the number (20) 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 205545105500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258512144163840).

205545105500200 is an abundant number, since it is smaller than the sum of its proper divisors (311479182827480).

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

205545105500200 is a wasteful number, since it uses less digits than its factorization.

205545105500200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 34.

The spelling of 205545105500200 in words is "two hundred five trillion, five hundred forty-five billion, one hundred five million, five hundred thousand, two hundred".