16009870240 has 288 divisors, whose sum is σ = 47972445696. Its totient is φ = 4940881920.

The previous prime is 16009870169. The next prime is 16009870321. The reversal of 16009870240 is 4207890061.

16009870240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16009870240.

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 47 ways as a sum of consecutive naturals, for example, 7759449 + ... + 7761511.

It is an arithmetic number, because the mean of its divisors is an integer number (166570992).

Almost surely, 2^16009870240 is an apocalyptic number.

16009870240 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 16009870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986222848).

16009870240 is an abundant number, since it is smaller than the sum of its proper divisors (31962575456).

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

16009870240 is a wasteful number, since it uses less digits than its factorization.

16009870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 16009870240 in words is "sixteen billion, nine million, eight hundred seventy thousand, two hundred forty".