205203684072 has 64 divisors (see below), whose sum is σ = 522956839680. Its totient is φ = 67076202752.

The previous prime is 205203684067. The next prime is 205203684089. The reversal of 205203684072 is 270486302502.

It is a super-3 number, since 3×205203684072³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205203684072.

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 15 ways as a sum of consecutive naturals, for example, 2499793 + ... + 2580575.

It is an arithmetic number, because the mean of its divisors is an integer number (8171200620).

Almost surely, 2^205203684072 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 205203684072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261478419840).

205203684072 is an abundant number, since it is smaller than the sum of its proper divisors (317753155608).

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

205203684072 is a wasteful number, since it uses less digits than its factorization.

205203684072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82842 (or 82838 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 205203684072 its reverse (270486302502), we get a palindrome (475689986574).

The spelling of 205203684072 in words is "two hundred five billion, two hundred three million, six hundred eighty-four thousand, seventy-two".