21679831824 has 160 divisors (see below), whose sum is σ = 65644369920. Its totient is φ = 6037785600.

The previous prime is 21679831787. The next prime is 21679831897. The reversal of 21679831824 is 42813897612.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118079 + ... + 2128289.

It is an arithmetic number, because the mean of its divisors is an integer number (410277312).

Almost surely, 2^21679831824 is an apocalyptic number.

21679831824 is a gapful number since it is divisible by the number (24) 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 21679831824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32822184960).

21679831824 is an abundant number, since it is smaller than the sum of its proper divisors (43964538096).

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

21679831824 is a wasteful number, since it uses less digits than its factorization.

21679831824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10383 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 21679831824 in words is "twenty-one billion, six hundred seventy-nine million, eight hundred thirty-one thousand, eight hundred twenty-four".