16382720025 has 243 divisors, whose sum is σ = 36368583069. Its totient is φ = 7028461440.

The previous prime is 16382719981. The next prime is 16382720047. The reversal of 16382720025 is 52002728361.

The square root of 16382720025 is 127995.

It is a perfect power (a square), and thus also a powerful number.

16382720025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123409881 + 16259310144 = 11109^2 + 127512^2 .

It is not a de Polignac number, because 16382720025 - 2¹¹ = 16382717977 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 309107899 + ... + 309107951.

Almost surely, 2^16382720025 is an apocalyptic number.

16382720025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16382720025 is the 127995-th square number.

16382720025 is the 63998-th centered octagonal number.

It is an amenable number.

16382720025 is an abundant number, since it is smaller than the sum of its proper divisors (19985863044).

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

16382720025 is a wasteful number, since it uses less digits than its factorization.

16382720025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 16382720025 by its sum of digits (36), we get a square (589777920900 = 767970²).

The spelling of 16382720025 in words is "sixteen billion, three hundred eighty-two million, seven hundred twenty thousand, twenty-five".