21694802688 has 432 divisors, whose sum is σ = 72077294016. Its totient is φ = 6216744960.

The previous prime is 21694802681. The next prime is 21694802729. The reversal of 21694802688 is 88620849612.

21694802688 is a `hidden beast` number, since 2 + 1 + 69 + 480 + 26 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (21694802681) 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 47 ways as a sum of consecutive naturals, for example, 69758053 + ... + 69758363.

It is an arithmetic number, because the mean of its divisors is an integer number (166845588).

Almost surely, 2^21694802688 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 21694802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36038647008).

21694802688 is an abundant number, since it is smaller than the sum of its proper divisors (50382491328).

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

21694802688 is a wasteful number, since it uses less digits than its factorization.

21694802688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 21694802688 in words is "twenty-one billion, six hundred ninety-four million, eight hundred two thousand, six hundred eighty-eight".