205161116520 has 32 divisors (see below), whose sum is σ = 615483349920. Its totient is φ = 54709631040.

The previous prime is 205161116497. The next prime is 205161116527. The reversal of 205161116520 is 25611161502.

205161116520 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 not an unprimeable number, because it can be changed into a prime (205161116527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 854837866 + ... + 854838105.

It is an arithmetic number, because the mean of its divisors is an integer number (19233854685).

Almost surely, 2^205161116520 is an apocalyptic number.

205161116520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205161116520 is an abundant number, since it is smaller than the sum of its proper divisors (410322233400).

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

205161116520 is a wasteful number, since it uses less digits than its factorization.

205161116520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709675985 (or 1709675981 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 205161116520 in words is "two hundred five billion, one hundred sixty-one million, one hundred sixteen thousand, five hundred twenty".