16405511056 has 135 divisors (see below), whose sum is σ = 36322388977. Its totient is φ = 7172704000.

The previous prime is 16405511053. The next prime is 16405511077. The reversal of 16405511056 is 65011550461.

The square root of 16405511056 is 128084.

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

16405511056 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 only one way, i.e., 790509456 + 15615001600 = 28116^2 + 124960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16405511053) 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 26 ways as a sum of consecutive naturals, for example, 231063501 + ... + 231063571.

Almost surely, 2^16405511056 is an apocalyptic number.

16405511056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16405511056 is the 128084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16405511056

16405511056 is an abundant number, since it is smaller than the sum of its proper divisors (19916877921).

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

16405511056 is an equidigital number, since it uses as much as digits as its factorization.

16405511056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 16405511056 in words is "sixteen billion, four hundred five million, five hundred eleven thousand, fifty-six".