205320505200 has 120 divisors (see below), whose sum is σ = 673751887536. Its totient is φ = 53416704000.

The previous prime is 205320505067. The next prime is 205320505211. The reversal of 205320505200 is 2505023502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037391 + ... + 2135790.

Almost surely, 2^205320505200 is an apocalyptic number.

205320505200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205320505200 is an abundant number, since it is smaller than the sum of its proper divisors (468431382336).

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

205320505200 is a wasteful number, since it uses less digits than its factorization.

205320505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173243 (or 4173232 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

Adding to 205320505200 its reverse (2505023502), we get a palindrome (207825528702).

The spelling of 205320505200 in words is "two hundred five billion, three hundred twenty million, five hundred five thousand, two hundred".