16505206560 has 144 divisors (see below), whose sum is σ = 57095942904. Its totient is φ = 4341067776.

The previous prime is 16505206541. The next prime is 16505206561. The reversal of 16505206560 is 6560250561.

It is a happy number.

16505206560 is a `hidden beast` number, since 16 + 5 + 0 + 520 + 65 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14564627856 + 1940578704 = 120684^2 + 44052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16505206561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26614 + ... + 183626.

Almost surely, 2^16505206560 is an apocalyptic number.

16505206560 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 16505206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28547971452).

16505206560 is an abundant number, since it is smaller than the sum of its proper divisors (40590736344).

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

16505206560 is a wasteful number, since it uses less digits than its factorization.

16505206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157107 (or 157096 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 16505206560 in words is "sixteen billion, five hundred five million, two hundred six thousand, five hundred sixty".