205579135488 has 80 divisors (see below), whose sum is σ = 549653971680. Its totient is φ = 68278849536.

The previous prime is 205579135471. The next prime is 205579135637. The reversal of 205579135488 is 884531975502.

205579135488 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 7 ways as a sum of consecutive naturals, for example, 183883 + ... + 667061.

It is an arithmetic number, because the mean of its divisors is an integer number (6870674646).

Almost surely, 2^205579135488 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 205579135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274826985840).

205579135488 is an abundant number, since it is smaller than the sum of its proper divisors (344074836192).

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

205579135488 is an equidigital number, since it uses as much as digits as its factorization.

205579135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483477 (or 483461 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 205579135488 in words is "two hundred five billion, five hundred seventy-nine million, one hundred thirty-five thousand, four hundred eighty-eight".