205832457712 has 80 divisors (see below), whose sum is σ = 480704947200. Its totient is φ = 83406447360.

The previous prime is 205832457683. The next prime is 205832457713. The reversal of 205832457712 is 217754238502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205832457713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988137 + ... + 1178167.

It is an arithmetic number, because the mean of its divisors is an integer number (6008811840).

Almost surely, 2^205832457712 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 205832457712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240352473600).

205832457712 is an abundant number, since it is smaller than the sum of its proper divisors (274872489488).

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

205832457712 is a wasteful number, since it uses less digits than its factorization.

205832457712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190574 (or 190568 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 205832457712 in words is "two hundred five billion, eight hundred thirty-two million, four hundred fifty-seven thousand, seven hundred twelve".