16564685056 has 36 divisors (see below), whose sum is σ = 33156950400. Its totient is φ = 8259226112.

The previous prime is 16564685041. The next prime is 16564685099. The reversal of 16564685056 is 65058646561.

It is a junction number, because it is equal to n+sod(n) for n = 16564684994 and 16564685012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1785 + ... + 182023.

It is an arithmetic number, because the mean of its divisors is an integer number (921026400).

Almost surely, 2^16564685056 is an apocalyptic number.

16564685056 is a gapful number since it is divisible by the number (16) 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 16564685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578475200).

16564685056 is an abundant number, since it is smaller than the sum of its proper divisors (16592265344).

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

16564685056 is an equidigital number, since it uses as much as digits as its factorization.

16564685056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180614 (or 180600 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 16564685056 in words is "sixteen billion, five hundred sixty-four million, six hundred eighty-five thousand, fifty-six".