205430320000 has 80 divisors (see below), whose sum is σ = 511406141400. Its totient is φ = 82172096000.

The previous prime is 205430319967. The next prime is 205430320009. The reversal of 205430320000 is 23034502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 205430320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205430320009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1203940 + ... + 1363939.

Almost surely, 2^205430320000 is an apocalyptic number.

205430320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205430320000 is an abundant number, since it is smaller than the sum of its proper divisors (305975821400).

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

205430320000 is an frugal number, since it uses more digits than its factorization.

205430320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567913 (or 2567886 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

Adding to 205430320000 its reverse (23034502), we get a palindrome (205453354502).

The spelling of 205430320000 in words is "two hundred five billion, four hundred thirty million, three hundred twenty thousand".