21822768576 has 336 divisors, whose sum is σ = 75665990400. Its totient is φ = 6233552640.

The previous prime is 21822768571. The next prime is 21822768589. The reversal of 21822768576 is 67586722812.

21822768576 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 2 + 7 + 68 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21822768571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5332291 + ... + 5336381.

It is an arithmetic number, because the mean of its divisors is an integer number (225196400).

Almost surely, 2^21822768576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21822768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37832995200).

21822768576 is an abundant number, since it is smaller than the sum of its proper divisors (53843221824).

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

21822768576 is an frugal number, since it uses more digits than its factorization.

21822768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4103 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 21822768576 in words is "twenty-one billion, eight hundred twenty-two million, seven hundred sixty-eight thousand, five hundred seventy-six".