16506205248 has 112 divisors (see below), whose sum is σ = 47068922880. Its totient is φ = 5074857984.

The previous prime is 16506205241. The next prime is 16506205259. The reversal of 16506205248 is 84250260561.

16506205248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16506205241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5731873 + ... + 5734751.

It is an arithmetic number, because the mean of its divisors is an integer number (420258240).

Almost surely, 2^16506205248 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 16506205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534461440).

16506205248 is an abundant number, since it is smaller than the sum of its proper divisors (30562717632).

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

16506205248 is a wasteful number, since it uses less digits than its factorization.

16506205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 16506205248 in words is "sixteen billion, five hundred six million, two hundred five thousand, two hundred forty-eight".