205284520168 has 64 divisors (see below), whose sum is σ = 474320448000. Its totient is φ = 81110840832.

The previous prime is 205284520159. The next prime is 205284520171. The reversal of 205284520168 is 861025482502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414673 + ... + 763231.

It is an arithmetic number, because the mean of its divisors is an integer number (7411257000).

Almost surely, 2^205284520168 is an apocalyptic number.

205284520168 is a gapful number since it is divisible by the number (28) 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 205284520168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237160224000).

205284520168 is an abundant number, since it is smaller than the sum of its proper divisors (269035927832).

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

205284520168 is a wasteful number, since it uses less digits than its factorization.

205284520168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349394 (or 349390 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 205284520168 in words is "two hundred five billion, two hundred eighty-four million, five hundred twenty thousand, one hundred sixty-eight".