205545004240000 has 160 divisors (see below), whose sum is σ = 512179440349500. Its totient is φ = 82139590656000.

The previous prime is 205545004239979. The next prime is 205545004240027. The reversal of 205545004240000 is 42400545502.

It can be written as a sum of positive squares in 10 ways, for example, as 34632471724096 + 170912532515904 = 5884936^2 + 13073352^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82695352 + ... + 85144648.

Almost surely, 2^{205545004240000} is an apocalyptic number.

205545004240000 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 205545004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089720174750).

205545004240000 is an abundant number, since it is smaller than the sum of its proper divisors (306634436109500).

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

205545004240000 is an equidigital number, since it uses as much as digits as its factorization.

205545004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450380 (or 2450353 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 31.

Adding to 205545004240000 its reverse (42400545502), we get a palindrome (205587404785502).

The spelling of 205545004240000 in words is "two hundred five trillion, five hundred forty-five billion, four million, two hundred forty thousand".