200583830688 has 96 divisors (see below), whose sum is σ = 557836445376. Its totient is φ = 62890856448.

The previous prime is 200583830653. The next prime is 200583830717. The reversal of 200583830688 is 886038385002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×200583830688⁴ (a number of 46 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 200583830688.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776270 + ... + 2847602.

It is an arithmetic number, because the mean of its divisors is an integer number (5810796306).

Almost surely, 2^200583830688 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 200583830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278918222688).

200583830688 is an abundant number, since it is smaller than the sum of its proper divisors (357252614688).

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

200583830688 is a wasteful number, since it uses less digits than its factorization.

200583830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73086 (or 73078 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 200583830688 in words is "two hundred billion, five hundred eighty-three million, eight hundred thirty thousand, six hundred eighty-eight".