16587607680 has 512 divisors, whose sum is σ = 68009356800. Its totient is φ = 3789213696.

The previous prime is 16587607679. The next prime is 16587607691. The reversal of 16587607680 is 8670678561.

16587607680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 9796914 + ... + 9798606.

It is an arithmetic number, because the mean of its divisors is an integer number (132830775).

Almost surely, 2^16587607680 is an apocalyptic number.

16587607680 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 16587607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34004678400).

16587607680 is an abundant number, since it is smaller than the sum of its proper divisors (51421749120).

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

16587607680 is an frugal number, since it uses more digits than its factorization.

16587607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 16587607680 in words is "sixteen billion, five hundred eighty-seven million, six hundred seven thousand, six hundred eighty".