209716008084 has 288 divisors, whose sum is σ = 636980198400. Its totient is φ = 57427729920.

The previous prime is 209716008079. The next prime is 209716008121. The reversal of 209716008084 is 480800617902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70776787 + ... + 70779749.

It is an arithmetic number, because the mean of its divisors is an integer number (2211736800).

Almost surely, 2^209716008084 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 209716008084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318490099200).

209716008084 is an abundant number, since it is smaller than the sum of its proper divisors (427264190316).

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

209716008084 is a wasteful number, since it uses less digits than its factorization.

209716008084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 209716008084 in words is "two hundred nine billion, seven hundred sixteen million, eight thousand, eighty-four".