204523014531200 has 192 divisors, whose sum is σ = 507940094039040. Its totient is φ = 81371412480000.

The previous prime is 204523014531151. The next prime is 204523014531221. The reversal of 204523014531200 is 2135410325402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7817846120 + ... + 7817872280.

It is an arithmetic number, because the mean of its divisors is an integer number (2645521323120).

Almost surely, 2^{204523014531200} is an apocalyptic number.

204523014531200 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 204523014531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253970047019520).

204523014531200 is an abundant number, since it is smaller than the sum of its proper divisors (303417079507840).

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

204523014531200 is a wasteful number, since it uses less digits than its factorization.

204523014531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39167 (or 39150 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 204523014531200 its reverse (2135410325402), we get a palindrome (206658424856602).

The spelling of 204523014531200 in words is "two hundred four trillion, five hundred twenty-three billion, fourteen million, five hundred thirty-one thousand, two hundred".