205243315200 has 1584 divisors, whose sum is σ = 957934688256. Its totient is φ = 40712601600.

The previous prime is 205243315169. The next prime is 205243315219. The reversal of 205243315200 is 2513342502.

It is a happy number.

205243315200 is a `hidden beast` number, since 20 + 5 + 2 + 433 + 1 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 408038149 + ... + 408038651.

Almost surely, 2^205243315200 is an apocalyptic number.

205243315200 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 205243315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478967344128).

205243315200 is an abundant number, since it is smaller than the sum of its proper divisors (752691373056).

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

205243315200 is a wasteful number, since it uses less digits than its factorization.

205243315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 554 counting only the distinct ones).

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

Adding to 205243315200 its reverse (2513342502), we get a palindrome (207756657702).

The spelling of 205243315200 in words is "two hundred five billion, two hundred forty-three million, three hundred fifteen thousand, two hundred".