21682830685080 has 128 divisors (see below), whose sum is σ = 65987052641280. Its totient is φ = 5698715850240.

The previous prime is 21682830685069. The next prime is 21682830685121. The reversal of 21682830685080 is 8058603828612.

It is a self number, because there is not a number n which added to its sum of digits gives 21682830685080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24763317 + ... + 25623963.

It is an arithmetic number, because the mean of its divisors is an integer number (515523848760).

Almost surely, 2^{21682830685080} is an apocalyptic number.

21682830685080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21682830685080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32993526320640).

21682830685080 is an abundant number, since it is smaller than the sum of its proper divisors (44304221956200).

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

21682830685080 is a wasteful number, since it uses less digits than its factorization.

21682830685080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863689 (or 863685 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 21682830685080 in words is "twenty-one trillion, six hundred eighty-two billion, eight hundred thirty million, six hundred eighty-five thousand, eighty".