200540304000 has 768 divisors, whose sum is σ = 745426281600. Its totient is φ = 51635404800.

The previous prime is 200540303993. The next prime is 200540304001. The reversal of 200540304000 is 403045002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200540304001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860687884 + ... + 860688116.

Almost surely, 2^200540304000 is an apocalyptic number.

200540304000 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 200540304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372713140800).

200540304000 is an abundant number, since it is smaller than the sum of its proper divisors (544885977600).

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

200540304000 is a wasteful number, since it uses less digits than its factorization.

200540304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 200540304000 its reverse (403045002), we get a palindrome (200943349002).

The spelling of 200540304000 in words is "two hundred billion, five hundred forty million, three hundred four thousand".