21834642880 has 112 divisors (see below), whose sum is σ = 53862732000. Its totient is φ = 8420765696.

The previous prime is 21834642839. The next prime is 21834642901. The reversal of 21834642880 is 8824643812.

It is a self number, because there is not a number n which added to its sum of digits gives 21834642880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9455166 + ... + 9457474.

It is an arithmetic number, because the mean of its divisors is an integer number (480917250).

Almost surely, 2^21834642880 is an apocalyptic number.

21834642880 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 21834642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26931366000).

21834642880 is an abundant number, since it is smaller than the sum of its proper divisors (32028089120).

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

21834642880 is a wasteful number, since it uses less digits than its factorization.

21834642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 21834642880 in words is "twenty-one billion, eight hundred thirty-four million, six hundred forty-two thousand, eight hundred eighty".