205132332255200 has 144 divisors (see below), whose sum is σ = 572537607060384. Its totient is φ = 70304246630400.

The previous prime is 205132332255187. The next prime is 205132332255211. The reversal of 205132332255200 is 2552233231502.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7689662 + ... + 21665538.

It is an arithmetic number, because the mean of its divisors is an integer number (3975955604586).

Almost surely, 2^{205132332255200} is an apocalyptic number.

205132332255200 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 205132332255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286268803530192).

205132332255200 is an abundant number, since it is smaller than the sum of its proper divisors (367405274805184).

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

205132332255200 is a wasteful number, since it uses less digits than its factorization.

205132332255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978525 (or 13978512 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 205132332255200 its reverse (2552233231502), we get a palindrome (207684565486702).

The spelling of 205132332255200 in words is "two hundred five trillion, one hundred thirty-two billion, three hundred thirty-two million, two hundred fifty-five thousand, two hundred".