21042916608 has 288 divisors, whose sum is σ = 68178813696. Its totient is φ = 5624561664.

The previous prime is 21042916589. The next prime is 21042916627. The reversal of 21042916608 is 80661924012.

It is an interprime number because it is at equal distance from previous prime (21042916589) and next prime (21042916627).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17638060 + ... + 17639252.

It is an arithmetic number, because the mean of its divisors is an integer number (236731992).

Almost surely, 2^21042916608 is an apocalyptic number.

21042916608 is a gapful number since it is divisible by the number (28) 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 21042916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34089406848).

21042916608 is an abundant number, since it is smaller than the sum of its proper divisors (47135897088).

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

21042916608 is a wasteful number, since it uses less digits than its factorization.

21042916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 21042916608 in words is "twenty-one billion, forty-two million, nine hundred sixteen thousand, six hundred eight".