205442486088 has 256 divisors, whose sum is σ = 615560601600. Its totient is φ = 55915453440.

The previous prime is 205442486087. The next prime is 205442486099. The reversal of 205442486088 is 880684244502.

It is a self number, because there is not a number n which added to its sum of digits gives 205442486088.

It is not an unprimeable number, because it can be changed into a prime (205442486087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90621931 + ... + 90624197.

It is an arithmetic number, because the mean of its divisors is an integer number (2404533600).

Almost surely, 2^205442486088 is an apocalyptic number.

205442486088 is a gapful number since it is divisible by the number (28) 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 205442486088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307780300800).

205442486088 is an abundant number, since it is smaller than the sum of its proper divisors (410118115512).

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

205442486088 is a wasteful number, since it uses less digits than its factorization.

205442486088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 51.

The spelling of 205442486088 in words is "two hundred five billion, four hundred forty-two million, four hundred eighty-six thousand, eighty-eight".