21288826368 has 240 divisors, whose sum is σ = 65322560160. Its totient is φ = 6651445248.

The previous prime is 21288826367. The next prime is 21288826379. The reversal of 21288826368 is 86362888212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21288826367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28122246 + ... + 28123002.

It is an arithmetic number, because the mean of its divisors is an integer number (272177334).

Almost surely, 2^21288826368 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 21288826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32661280080).

21288826368 is an abundant number, since it is smaller than the sum of its proper divisors (44033733792).

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

21288826368 is a wasteful number, since it uses less digits than its factorization.

21288826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1138 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 21288826368 in words is "twenty-one billion, two hundred eighty-eight million, eight hundred twenty-six thousand, three hundred sixty-eight".