21723649984320 has 224 divisors, whose sum is σ = 71997491727360. Its totient is φ = 5543112622080.

The previous prime is 21723649984303. The next prime is 21723649984339. The reversal of 21723649984320 is 2348994632712.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1452267 + ... + 6749546.

Almost surely, 2^{21723649984320} is an apocalyptic number.

21723649984320 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 21723649984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998745863680).

21723649984320 is an abundant number, since it is smaller than the sum of its proper divisors (50273841743040).

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

21723649984320 is a wasteful number, since it uses less digits than its factorization.

21723649984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201953 (or 8201943 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 21723649984320 in words is "twenty-one trillion, seven hundred twenty-three billion, six hundred forty-nine million, nine hundred eighty-four thousand, three hundred twenty".