200189791872 has 256 divisors, whose sum is σ = 683586374400. Its totient is φ = 57196523520.

The previous prime is 200189791829. The next prime is 200189791873. The reversal of 200189791872 is 278197981002.

200189791872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (200189791873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908472 + ... + 2010632.

It is an arithmetic number, because the mean of its divisors is an integer number (2670259275).

Almost surely, 2^200189791872 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 200189791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341793187200).

200189791872 is an abundant number, since it is smaller than the sum of its proper divisors (483396582528).

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

200189791872 is an frugal number, since it uses more digits than its factorization.

200189791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102203 (or 102173 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 200189791872 in words is "two hundred billion, one hundred eighty-nine million, seven hundred ninety-one thousand, eight hundred seventy-two".