205204520430 has 192 divisors, whose sum is σ = 657094209408. Its totient is φ = 43266908160.

The previous prime is 205204520419. The next prime is 205204520459. The reversal of 205204520430 is 34025402502.

It is a happy number.

205204520430 is a `hidden beast` number, since 2 + 0 + 5 + 204 + 5 + 20 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205204520394 and 205204520403.

It is a congruent number.

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, 13563270 + ... + 13578390.

It is an arithmetic number, because the mean of its divisors is an integer number (3422365674).

Almost surely, 2^205204520430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205204520430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328547104704).

205204520430 is an abundant number, since it is smaller than the sum of its proper divisors (451889688978).

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

205204520430 is a wasteful number, since it uses less digits than its factorization.

205204520430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16811 (or 16808 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 205204520430 its reverse (34025402502), we get a palindrome (239229922932).

The spelling of 205204520430 in words is "two hundred five billion, two hundred four million, five hundred twenty thousand, four hundred thirty".