205504234000 has 80 divisors (see below), whose sum is σ = 535133093040. Its totient is φ = 75878476800.

The previous prime is 205504233973. The next prime is 205504234043. The reversal of 205504234000 is 432405502.

It can be written as a sum of positive squares in 8 ways, for example, as 46934622736 + 158569611264 = 216644^2 + 398208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926005 + ... + 3978004.

It is an arithmetic number, because the mean of its divisors is an integer number (6689163663).

Almost surely, 2^205504234000 is an apocalyptic number.

205504234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205504234000 is an abundant number, since it is smaller than the sum of its proper divisors (329628859040).

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

205504234000 is a wasteful number, since it uses less digits than its factorization.

205504234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904045 (or 7904029 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 205504234000 its reverse (432405502), we get a palindrome (205936639502).

The spelling of 205504234000 in words is "two hundred five billion, five hundred four million, two hundred thirty-four thousand".