209969382528 has 192 divisors, whose sum is σ = 638208679680. Its totient is φ = 66156410880.

The previous prime is 209969382509. The next prime is 209969382583. The reversal of 209969382528 is 825283969902.

209969382528 is a `hidden beast` number, since 20 + 9 + 9 + 6 + 9 + 3 + 82 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1467250 + ... + 1603982.

It is an arithmetic number, because the mean of its divisors is an integer number (3324003540).

Almost surely, 2^209969382528 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 209969382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319104339840).

209969382528 is an abundant number, since it is smaller than the sum of its proper divisors (428239297152).

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

209969382528 is a wasteful number, since it uses less digits than its factorization.

209969382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136827 (or 136812 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 209969382528 in words is "two hundred nine billion, nine hundred sixty-nine million, three hundred eighty-two thousand, five hundred twenty-eight".