205052120056 has 64 divisors (see below), whose sum is σ = 448541784000. Its totient is φ = 87844772736.

The previous prime is 205052120047. The next prime is 205052120057. The reversal of 205052120056 is 650021250502.

205052120056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205052120057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7661610 + ... + 7688326.

It is an arithmetic number, because the mean of its divisors is an integer number (7008465375).

Almost surely, 2^205052120056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205052120056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224270892000).

205052120056 is an abundant number, since it is smaller than the sum of its proper divisors (243489663944).

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

205052120056 is a wasteful number, since it uses less digits than its factorization.

205052120056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29541 (or 29523 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 205052120056 its reverse (650021250502), we get a palindrome (855073370558).

The spelling of 205052120056 in words is "two hundred five billion, fifty-two million, one hundred twenty thousand, fifty-six".