205312809885792 has 144 divisors (see below), whose sum is σ = 627237761391360. Its totient is φ = 58632692305152.

The previous prime is 205312809885707. The next prime is 205312809885901. The reversal of 205312809885792 is 297588908213502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639492 + ... + 20273987.

It is an arithmetic number, because the mean of its divisors is an integer number (4355817787440).

Almost surely, 2^{205312809885792} 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 205312809885792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313618880695680).

205312809885792 is an abundant number, since it is smaller than the sum of its proper divisors (421924951505568).

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

205312809885792 is a wasteful number, since it uses less digits than its factorization.

205312809885792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915593 (or 20915578 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 69.

The spelling of 205312809885792 in words is "two hundred five trillion, three hundred twelve billion, eight hundred nine million, eight hundred eighty-five thousand, seven hundred ninety-two".