20669562144 has 288 divisors, whose sum is σ = 73464693120. Its totient is φ = 5355417600.

The previous prime is 20669562083. The next prime is 20669562157. The reversal of 20669562144 is 44126596602.

20669562144 is a `hidden beast` number, since 20 + 6 + 69 + 562 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 20669562144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11552802 + ... + 11554590.

It is an arithmetic number, because the mean of its divisors is an integer number (255085740).

Almost surely, 2^20669562144 is an apocalyptic number.

20669562144 is a gapful number since it is divisible by the number (24) 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 20669562144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36732346560).

20669562144 is an abundant number, since it is smaller than the sum of its proper divisors (52795130976).

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

20669562144 is a wasteful number, since it uses less digits than its factorization.

20669562144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20669562144 in words is "twenty billion, six hundred sixty-nine million, five hundred sixty-two thousand, one hundred forty-four".