209829416550 has 96 divisors (see below), whose sum is σ = 560557267872. Its totient is φ = 51636372480.

The previous prime is 209829416549. The next prime is 209829416593. The reversal of 209829416550 is 55614928902.

It is a junction number, because it is equal to n+sod(n) for n = 209829416493 and 209829416502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8483802 + ... + 8508498.

It is an arithmetic number, because the mean of its divisors is an integer number (5839138207).

Almost surely, 2^209829416550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209829416550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280278633936).

209829416550 is an abundant number, since it is smaller than the sum of its proper divisors (350727851322).

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

209829416550 is a wasteful number, since it uses less digits than its factorization.

209829416550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29077 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 209829416550 in words is "two hundred nine billion, eight hundred twenty-nine million, four hundred sixteen thousand, five hundred fifty".