200209679405232 has 320 divisors, whose sum is σ = 599237596339200. Its totient is φ = 56419098624000.

The previous prime is 200209679405129. The next prime is 200209679405237. The reversal of 200209679405232 is 232504976902002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200209679405237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16342307107 + ... + 16342319357.

It is an arithmetic number, because the mean of its divisors is an integer number (1872617488560).

Almost surely, 2^{200209679405232} 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 200209679405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299618798169600).

200209679405232 is an abundant number, since it is smaller than the sum of its proper divisors (399027916933968).

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

200209679405232 is a wasteful number, since it uses less digits than its factorization.

200209679405232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14044 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 200209679405232 in words is "two hundred trillion, two hundred nine billion, six hundred seventy-nine million, four hundred five thousand, two hundred thirty-two".