200352864096 has 768 divisors, whose sum is σ = 791794483200. Its totient is φ = 47701094400.

The previous prime is 200352864091. The next prime is 200352864097. The reversal of 200352864096 is 690468253002.

200352864096 is a `hidden beast` number, since 200 + 35 + 2 + 8 + 6 + 409 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200352864091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39182436 + ... + 39187548.

It is an arithmetic number, because the mean of its divisors is an integer number (1030982400).

Almost surely, 2^200352864096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200352864096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395897241600).

200352864096 is an abundant number, since it is smaller than the sum of its proper divisors (591441619104).

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

200352864096 is a wasteful number, since it uses less digits than its factorization.

200352864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 200352864096 in words is "two hundred billion, three hundred fifty-two million, eight hundred sixty-four thousand, ninety-six".