16582140000 has 360 divisors, whose sum is σ = 62403180840. Its totient is φ = 4161024000.

The previous prime is 16582139989. The next prime is 16582140013. The reversal of 16582140000 is 4128561.

16582140000 is a `hidden beast` number, since 1 + 658 + 2 + 1 + 4 + 0 + 0 + 0 + 0 = 666.

16582140000 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 (360).

It is a congruent 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 59 ways as a sum of consecutive naturals, for example, 3057291 + ... + 3062709.

It is an arithmetic number, because the mean of its divisors is an integer number (173342169).

Almost surely, 2^16582140000 is an apocalyptic number.

16582140000 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 16582140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31201590420).

16582140000 is an abundant number, since it is smaller than the sum of its proper divisors (45821040840).

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

16582140000 is a wasteful number, since it uses less digits than its factorization.

16582140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 16582140000 its reverse (4128561), we get a palindrome (16586268561).

The spelling of 16582140000 in words is "sixteen billion, five hundred eighty-two million, one hundred forty thousand".