21325682688 has 384 divisors, whose sum is σ = 63402393600. Its totient is φ = 6347980800.

The previous prime is 21325682681. The next prime is 21325682717. The reversal of 21325682688 is 88628652312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 21325682688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21325682681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256935895 + ... + 256935977.

It is an arithmetic number, because the mean of its divisors is an integer number (165110400).

Almost surely, 2^21325682688 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 21325682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701196800).

21325682688 is an abundant number, since it is smaller than the sum of its proper divisors (42076710912).

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

21325682688 is a wasteful number, since it uses less digits than its factorization.

21325682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 21325682688 in words is "twenty-one billion, three hundred twenty-five million, six hundred eighty-two thousand, six hundred eighty-eight".