205085667824 has 40 divisors (see below), whose sum is σ = 412542440832. Its totient is φ = 98661346560.

The previous prime is 205085667817. The next prime is 205085667833. The reversal of 205085667824 is 428766580502.

205085667824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205085667824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109219 + ... + 1280834.

Almost surely, 2^205085667824 is an apocalyptic number.

It is an amenable number.

205085667824 is an abundant number, since it is smaller than the sum of its proper divisors (207456773008).

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

205085667824 is a wasteful number, since it uses less digits than its factorization.

205085667824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390265 (or 2390259 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 205085667824 in words is "two hundred five billion, eighty-five million, six hundred sixty-seven thousand, eight hundred twenty-four".