205220055168 has 168 divisors, whose sum is σ = 613388446695. Its totient is φ = 68360557824.

The previous prime is 205220055137. The next prime is 205220055181. The reversal of 205220055168 is 861550022502.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

205220055168 is a `hidden beast` number, since 20 + 5 + 2 + 20 + 0 + 551 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102610027584 + 102610027584 = 320328^2 + 320328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=320328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 138380955 + ... + 138382437.

Almost surely, 2^205220055168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205220055168

205220055168 is an abundant number, since it is smaller than the sum of its proper divisors (408168391527).

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

205220055168 is an frugal number, since it uses more digits than its factorization.

205220055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 205220055168 in words is "two hundred five billion, two hundred twenty million, fifty-five thousand, one hundred sixty-eight".