200459661747072 has 512 divisors, whose sum is σ = 690481855365120. Its totient is φ = 50078862434304.

The previous prime is 200459661747047. The next prime is 200459661747083. The reversal of 200459661747072 is 270747166954002.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 200459661746997 and 200459661747015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81571573 + ... + 83993099.

It is an arithmetic number, because the mean of its divisors is an integer number (1348597373760).

Almost surely, 2^{200459661747072} 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 200459661747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345240927682560).

200459661747072 is an abundant number, since it is smaller than the sum of its proper divisors (490022193618048).

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

200459661747072 is a wasteful number, since it uses less digits than its factorization.

200459661747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421690 (or 2421678 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 200459661747072 in words is "two hundred trillion, four hundred fifty-nine billion, six hundred sixty-one million, seven hundred forty-seven thousand, seventy-two".