205342244551320 has 128 divisors (see below), whose sum is σ = 626166715265280. Its totient is φ = 53856718272000.

The previous prime is 205342244551277. The next prime is 205342244551337. The reversal of 205342244551320 is 23155442243502.

It is a super-2 number, since 2×205342244551320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111308035 + ... + 113137805.

It is an arithmetic number, because the mean of its divisors is an integer number (4891927463010).

Almost surely, 2^{205342244551320} is an apocalyptic number.

205342244551320 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 205342244551320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313083357632640).

205342244551320 is an abundant number, since it is smaller than the sum of its proper divisors (420824470713960).

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

205342244551320 is a wasteful number, since it uses less digits than its factorization.

205342244551320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845177 (or 1845173 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 205342244551320 its reverse (23155442243502), we get a palindrome (228497686794822).

The spelling of 205342244551320 in words is "two hundred five trillion, three hundred forty-two billion, two hundred forty-four million, five hundred fifty-one thousand, three hundred twenty".