205250454120 has 128 divisors (see below), whose sum is σ = 652136947200. Its totient is φ = 51534537984.

The previous prime is 205250454077. The next prime is 205250454169. The reversal of 205250454120 is 21454052502.

205250454120 is digitally balanced in base 2, 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 95499 + ... + 647781.

It is an arithmetic number, because the mean of its divisors is an integer number (5094819900).

Almost surely, 2^205250454120 is an apocalyptic number.

205250454120 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 205250454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326068473600).

205250454120 is an abundant number, since it is smaller than the sum of its proper divisors (446886493080).

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

205250454120 is a wasteful number, since it uses less digits than its factorization.

205250454120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552479 (or 552475 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 205250454120 in words is "two hundred five billion, two hundred fifty million, four hundred fifty-four thousand, one hundred twenty".