200984105893824 has 1680 divisors, whose sum is σ = 686132987904000. Its totient is φ = 56104499404800.

The previous prime is 200984105893811. The next prime is 200984105893841. The reversal of 200984105893824 is 428398501489002.

200984105893824 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 8 + 4 + 10 + 589 + 38 + 2 + 4 = 666.

It is a super-2 number, since 2×200984105893824² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1009970381277 + ... + 1009970381475.

It is an arithmetic number, because the mean of its divisors is an integer number (408412492800).

Almost surely, 2^{200984105893824} is an apocalyptic number.

200984105893824 is a gapful number since it is divisible by the number (24) 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 200984105893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343066493952000).

200984105893824 is an abundant number, since it is smaller than the sum of its proper divisors (485148882010176).

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

200984105893824 is a wasteful number, since it uses less digits than its factorization.

200984105893824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 200984105893824 in words is "two hundred trillion, nine hundred eighty-four billion, one hundred five million, eight hundred ninety-three thousand, eight hundred twenty-four".