205968538600 has 192 divisors, whose sum is σ = 568872072000. Its totient is φ = 68508518400.

The previous prime is 205968538519. The next prime is 205968538621. The reversal of 205968538600 is 6835869502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127244 + ... + 1297156.

It is an arithmetic number, because the mean of its divisors is an integer number (2962875375).

Almost surely, 2^205968538600 is an apocalyptic number.

205968538600 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 205968538600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284436036000).

205968538600 is an abundant number, since it is smaller than the sum of its proper divisors (362903533400).

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

205968538600 is a wasteful number, since it uses less digits than its factorization.

205968538600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169988 (or 169979 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 205968538600 in words is "two hundred five billion, nine hundred sixty-eight million, five hundred thirty-eight thousand, six hundred".