206530261200 has 180 divisors, whose sum is σ = 725353574400. Its totient is φ = 54411106560.

The previous prime is 206530261177. The next prime is 206530261213. The reversal of 206530261200 is 2162035602.

206530261200 is a `hidden beast` number, since 2 + 0 + 6 + 530 + 2 + 6 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46800 + ... + 644399.

It is an arithmetic number, because the mean of its divisors is an integer number (4029742080).

Almost surely, 2^206530261200 is an apocalyptic number.

206530261200 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 206530261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362676787200).

206530261200 is an abundant number, since it is smaller than the sum of its proper divisors (518823313200).

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

206530261200 is a wasteful number, since it uses less digits than its factorization.

206530261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691306 (or 691292 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 206530261200 its reverse (2162035602), we get a palindrome (208692296802).

The spelling of 206530261200 in words is "two hundred six billion, five hundred thirty million, two hundred sixty-one thousand, two hundred".