200459093120 has 864 divisors, whose sum is σ = 617342671260. Its totient is φ = 62134026240.

The previous prime is 200459093119. The next prime is 200459093147. The reversal of 200459093120 is 21390954002.

It can be written as a sum of positive squares in 18 ways, for example, as 535644736 + 199923448384 = 23144^2 + 447128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3782247014 + ... + 3782247066.

Almost surely, 2^200459093120 is an apocalyptic number.

200459093120 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 200459093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308671335630).

200459093120 is an abundant number, since it is smaller than the sum of its proper divisors (416883578140).

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

200459093120 is a wasteful number, since it uses less digits than its factorization.

200459093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 200459093120 in words is "two hundred billion, four hundred fifty-nine million, ninety-three thousand, one hundred twenty".