16564822560 has 864 divisors, whose sum is σ = 68514211584. Its totient is φ = 3619123200.

The previous prime is 16564822543. The next prime is 16564822567. The reversal of 16564822560 is 6522846561.

16564822560 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 4 + 82 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16564822567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160823469 + ... + 160823571.

It is an arithmetic number, because the mean of its divisors is an integer number (79298856).

Almost surely, 2^16564822560 is an apocalyptic number.

16564822560 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 16564822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34257105792).

16564822560 is an abundant number, since it is smaller than the sum of its proper divisors (51949389024).

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

16564822560 is a wasteful number, since it uses less digits than its factorization.

16564822560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 16564822560 in words is "sixteen billion, five hundred sixty-four million, eight hundred twenty-two thousand, five hundred sixty".