205254705408 has 288 divisors, whose sum is σ = 587200320000. Its totient is φ = 63454887936.

The previous prime is 205254705401. The next prime is 205254705479. The reversal of 205254705408 is 804507452502.

It is a self number, because there is not a number n which added to its sum of digits gives 205254705408.

It is not an unprimeable number, because it can be changed into a prime (205254705401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360728548 + ... + 360729116.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890000).

Almost surely, 2^205254705408 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 205254705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160000).

205254705408 is an abundant number, since it is smaller than the sum of its proper divisors (381945614592).

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

205254705408 is a wasteful number, since it uses less digits than its factorization.

205254705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 205254705408 in words is "two hundred five billion, two hundred fifty-four million, seven hundred five thousand, four hundred eight".