205524042066 has 64 divisors (see below), whose sum is σ = 522011500800. Its totient is φ = 58716016128.

The previous prime is 205524042041. The next prime is 205524042071. The reversal of 205524042066 is 660240425502.

205524042066 is a `hidden beast` number, since 2 + 0 + 552 + 4 + 0 + 42 + 0 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205524042066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7193826 + ... + 7222338.

It is an arithmetic number, because the mean of its divisors is an integer number (8156429700).

Almost surely, 2^205524042066 is an apocalyptic number.

205524042066 is an abundant number, since it is smaller than the sum of its proper divisors (316487458734).

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

205524042066 is a wasteful number, since it uses less digits than its factorization.

205524042066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47600 (or 47594 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 205524042066 its reverse (660240425502), we get a palindrome (865764467568).

The spelling of 205524042066 in words is "two hundred five billion, five hundred twenty-four million, forty-two thousand, sixty-six".