200240797509984 has 768 divisors, whose sum is σ = 674498859761664. Its totient is φ = 50516466739200.

The previous prime is 200240797509943. The next prime is 200240797510069. The reversal of 200240797509984 is 489905797042002.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10252450299 + ... + 10252469829.

It is an arithmetic number, because the mean of its divisors is an integer number (878253723648).

Almost surely, 2^{200240797509984} is an apocalyptic number.

200240797509984 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 200240797509984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337249429880832).

200240797509984 is an abundant number, since it is smaller than the sum of its proper divisors (474258062251680).

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

200240797509984 is a wasteful number, since it uses less digits than its factorization.

200240797509984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919 (or 19911 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 200240797509984 in words is "two hundred trillion, two hundred forty billion, seven hundred ninety-seven million, five hundred nine thousand, nine hundred eighty-four".