200540225010 has 64 divisors (see below), whose sum is σ = 488107244160. Its totient is φ = 52721303040.

The previous prime is 200540224999. The next prime is 200540225023. The reversal of 200540225010 is 10522045002.

It is a happy number.

It is a super-3 number, since 3×200540225010³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5195161 + ... + 5233619.

It is an arithmetic number, because the mean of its divisors is an integer number (7626675690).

Almost surely, 2^200540225010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200540225010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244053622080).

200540225010 is an abundant number, since it is smaller than the sum of its proper divisors (287567019150).

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

200540225010 is a wasteful number, since it uses less digits than its factorization.

200540225010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40923.

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 200540225010 in words is "two hundred billion, five hundred forty million, two hundred twenty-five thousand, ten".