205052115655520 has 192 divisors, whose sum is σ = 559886342520960. Its totient is φ = 69510557073408.

The previous prime is 205052115655501. The next prime is 205052115655559. The reversal of 205052115655520 is 25556511250502.

205052115655520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3910719224 + ... + 3910771656.

It is an arithmetic number, because the mean of its divisors is an integer number (2916074700630).

Almost surely, 2^{205052115655520} is an apocalyptic number.

205052115655520 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 205052115655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279943171260480).

205052115655520 is an abundant number, since it is smaller than the sum of its proper divisors (354834226865440).

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

205052115655520 is a wasteful number, since it uses less digits than its factorization.

205052115655520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91777 (or 91769 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 44.

The spelling of 205052115655520 in words is "two hundred five trillion, fifty-two billion, one hundred fifteen million, six hundred fifty-five thousand, five hundred twenty".