200087533200 has 240 divisors, whose sum is σ = 675136788480. Its totient is φ = 50514301440.

The previous prime is 200087533183. The next prime is 200087533201. The reversal of 200087533200 is 2335780002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×200087533200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (200087533201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66186889 + ... + 66189911.

It is an arithmetic number, because the mean of its divisors is an integer number (2813069952).

Almost surely, 2^200087533200 is an apocalyptic number.

200087533200 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 200087533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337568394240).

200087533200 is an abundant number, since it is smaller than the sum of its proper divisors (475049255280).

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

200087533200 is a wasteful number, since it uses less digits than its factorization.

200087533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 200087533200 in words is "two hundred billion, eighty-seven million, five hundred thirty-three thousand, two hundred".