205379000000 has 196 divisors, whose sum is σ = 518212898040. Its totient is φ = 80759200000.

The previous prime is 205378999967. The next prime is 205379000011. The reversal of 205379000000 is 973502.

The cubic root of 205379000000 is 5900.

It is a perfect power (a cube), and thus also a powerful number.

205379000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 27 ways as a sum of consecutive naturals, for example, 3480999971 + ... + 3481000029.

Almost surely, 2^205379000000 is an apocalyptic number.

205379000000 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 205379000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259106449020).

205379000000 is an abundant number, since it is smaller than the sum of its proper divisors (312833898040).

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

205379000000 is an frugal number, since it uses more digits than its factorization.

205379000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

Adding to 205379000000 its reverse (973502), we get a palindrome (205379973502).

The spelling of 205379000000 in words is "two hundred five billion, three hundred seventy-nine million", and thus it is an aban number.