205142524655460 has 192 divisors, whose sum is σ = 663855662131200. Its totient is φ = 46361215853568.

The previous prime is 205142524655459. The next prime is 205142524655513. The reversal of 205142524655460 is 64556425241502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1267960851 + ... + 1268122629.

It is an arithmetic number, because the mean of its divisors is an integer number (3457581573600).

Almost surely, 2^{205142524655460} is an apocalyptic number.

205142524655460 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 205142524655460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331927831065600).

205142524655460 is an abundant number, since it is smaller than the sum of its proper divisors (458713137475740).

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

205142524655460 is a wasteful number, since it uses less digits than its factorization.

205142524655460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195810 (or 195808 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 51.

Adding to 205142524655460 its reverse (64556425241502), we get a palindrome (269698949896962).

The spelling of 205142524655460 in words is "two hundred five trillion, one hundred forty-two billion, five hundred twenty-four million, six hundred fifty-five thousand, four hundred sixty".