16564834880 has 224 divisors, whose sum is σ = 44490314880. Its totient is φ = 5821562880.

The previous prime is 16564834861. The next prime is 16564834889. The reversal of 16564834880 is 8843846561.

It is a happy number.

16564834880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16564834880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16564834889) 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 31 ways as a sum of consecutive naturals, for example, 25135991 + ... + 25136649.

Almost surely, 2^16564834880 is an apocalyptic number.

16564834880 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 16564834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245157440).

16564834880 is an abundant number, since it is smaller than the sum of its proper divisors (27925480000).

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

16564834880 is a wasteful number, since it uses less digits than its factorization.

16564834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 16564834880 in words is "sixteen billion, five hundred sixty-four million, eight hundred thirty-four thousand, eight hundred eighty".