205263343200 has 72 divisors (see below), whose sum is σ = 668132189928. Its totient is φ = 54736890880.

The previous prime is 205263343189. The next prime is 205263343217. The reversal of 205263343200 is 2343362502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42760797 + ... + 42765596.

It is an arithmetic number, because the mean of its divisors is an integer number (9279613749).

Almost surely, 2^205263343200 is an apocalyptic number.

205263343200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205263343200 is an abundant number, since it is smaller than the sum of its proper divisors (462868846728).

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

205263343200 is a wasteful number, since it uses less digits than its factorization.

205263343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85526416 (or 85526403 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 205263343200 in words is "two hundred five billion, two hundred sixty-three million, three hundred forty-three thousand, two hundred".