205463651200 has 96 divisors (see below), whose sum is σ = 512052003360. Its totient is φ = 81458012160.

The previous prime is 205463651189. The next prime is 205463651203. The reversal of 205463651200 is 2156364502.

It is a super-2 number, since 2×205463651200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205463651203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77497 + ... + 645703.

It is an arithmetic number, because the mean of its divisors is an integer number (5333875035).

Almost surely, 2^205463651200 is an apocalyptic number.

205463651200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205463651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256026001680).

205463651200 is an abundant number, since it is smaller than the sum of its proper divisors (306588352160).

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

205463651200 is a wasteful number, since it uses less digits than its factorization.

205463651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568344 (or 568327 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 205463651200 in words is "two hundred five billion, four hundred sixty-three million, six hundred fifty-one thousand, two hundred".