16564848800 has 36 divisors (see below), whose sum is σ = 40438939086. Its totient is φ = 6625939200.

The previous prime is 16564848799. The next prime is 16564848821. The reversal of 16564848800 is 884846561.

16564848800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13864591504 + 2700257296 = 117748^2 + 51964^2 .

It is a super-2 number, since 2×16564848800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 5 ways as a sum of consecutive naturals, for example, 10352231 + ... + 10353830.

Almost surely, 2^16564848800 is an apocalyptic number.

16564848800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16564848800 is an abundant number, since it is smaller than the sum of its proper divisors (23874090286).

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

16564848800 is a wasteful number, since it uses less digits than its factorization.

16564848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20706081 (or 20706068 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 16564848800 in words is "sixteen billion, five hundred sixty-four million, eight hundred forty-eight thousand, eight hundred".