21139682688 has 192 divisors, whose sum is σ = 63050133120. Its totient is φ = 6791454720.

The previous prime is 21139682671. The next prime is 21139682693. The reversal of 21139682688 is 88628693112.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9891156 + ... + 9893292.

It is an arithmetic number, because the mean of its divisors is an integer number (328386110).

Almost surely, 2^21139682688 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 21139682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31525066560).

21139682688 is an abundant number, since it is smaller than the sum of its proper divisors (41910450432).

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

21139682688 is a wasteful number, since it uses less digits than its factorization.

21139682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2450 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 21139682688 in words is "twenty-one billion, one hundred thirty-nine million, six hundred eighty-two thousand, six hundred eighty-eight".