205000000000 has 220 divisors, whose sum is σ = 524487293946. Its totient is φ = 80000000000.

The previous prime is 204999999983. The next prime is 205000000021. The reversal of 205000000000 is 502.

205000000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 11 ways, for example, as 7053312256 + 197946687744 = 83984^2 + 444912^2 .

It is a sliding number, since 205000000000 = 5000000000 + 200000000000 and 1/5000000000 + 1/200000000000 = 0.000000000205000000000.

It is a self number, because there is not a number n which added to its sum of digits gives 205000000000.

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 21 ways as a sum of consecutive naturals, for example, 4999999980 + ... + 5000000020.

Almost surely, 2^205000000000 is an apocalyptic number.

205000000000 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 205000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262243646973).

205000000000 is an abundant number, since it is smaller than the sum of its proper divisors (319487293946).

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

205000000000 is an frugal number, since it uses more digits than its factorization.

205000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

Adding to 205000000000 its reverse (502), we get a palindrome (205000000502).

It can be divided in two parts, 20 and 5000000000, that multiplied together give a 11-th power (100000000000 = 10¹¹).

The spelling of 205000000000 in words is "two hundred five billion", and thus it is an aban number.