205887231200 has 144 divisors (see below), whose sum is σ = 608215384224. Its totient is φ = 66437529600.

The previous prime is 205887231191. The next prime is 205887231203. The reversal of 205887231200 is 2132788502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205887231203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986141 + ... + 1176540.

It is an arithmetic number, because the mean of its divisors is an integer number (4223717946).

Almost surely, 2^205887231200 is an apocalyptic number.

205887231200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205887231200 is an abundant number, since it is smaller than the sum of its proper divisors (402328153024).

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

205887231200 is a wasteful number, since it uses less digits than its factorization.

205887231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162725 (or 2162712 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 205887231200 in words is "two hundred five billion, eight hundred eighty-seven million, two hundred thirty-one thousand, two hundred".