205935906743 has 24 divisors (see below), whose sum is σ = 240263508960. Its totient is φ = 175997525760.

The previous prime is 205935906721. The next prime is 205935906763. The reversal of 205935906743 is 347609539502.

It is not a de Polignac number, because 205935906743 - 2¹⁶ = 205935841207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205935906703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25009355 + ... + 25017587.

It is an arithmetic number, because the mean of its divisors is an integer number (10010979540).

Almost surely, 2^205935906743 is an apocalyptic number.

205935906743 is a deficient number, since it is larger than the sum of its proper divisors (34327602217).

205935906743 is an equidigital number, since it uses as much as digits as its factorization.

205935906743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9687 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 53.

The spelling of 205935906743 in words is "two hundred five billion, nine hundred thirty-five million, nine hundred six thousand, seven hundred forty-three".