204400511000 has 192 divisors, whose sum is σ = 564018137280. Its totient is φ = 69118963200.

The previous prime is 204400510999. The next prime is 204400511017. The reversal of 204400511000 is 115004402.

It is a super-2 number, since 2×204400511000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204400511000.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3548429 + ... + 3605571.

It is an arithmetic number, because the mean of its divisors is an integer number (2937594465).

Almost surely, 2^204400511000 is an apocalyptic number.

204400511000 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 204400511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009068640).

204400511000 is an abundant number, since it is smaller than the sum of its proper divisors (359617626280).

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

204400511000 is a wasteful number, since it uses less digits than its factorization.

204400511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57251 (or 57230 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 204400511000 its reverse (115004402), we get a palindrome (204515515402).

The spelling of 204400511000 in words is "two hundred four billion, four hundred million, five hundred eleven thousand".