16093440000 has 720 divisors, whose sum is σ = 63861557760. Its totient is φ = 3870720000.

The previous prime is 16093439977. The next prime is 16093440017. The reversal of 16093440000 is 4439061.

16093440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×16093440000² (a number of 21 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 126719937 + ... + 126720063.

It is an arithmetic number, because the mean of its divisors is an integer number (88696608).

Almost surely, 2^16093440000 is an apocalyptic number.

16093440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16093440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31930778880).

16093440000 is an abundant number, since it is smaller than the sum of its proper divisors (47768117760).

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

16093440000 is a wasteful number, since it uses less digits than its factorization.

16093440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 16093440000 its reverse (4439061), we get a palindrome (16097879061).

The spelling of 16093440000 in words is "sixteen billion, ninety-three million, four hundred forty thousand".