21753368120 has 64 divisors (see below), whose sum is σ = 53457861600. Its totient is φ = 7900948480.

The previous prime is 21753368111. The next prime is 21753368123. The reversal of 21753368120 is 2186335712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21753368123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 348236 + ... + 405924.

Almost surely, 2^21753368120 is an apocalyptic number.

21753368120 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 21753368120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26728930800).

21753368120 is an abundant number, since it is smaller than the sum of its proper divisors (31704493480).

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

21753368120 is a wasteful number, since it uses less digits than its factorization.

21753368120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58568 (or 58564 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 21753368120 in words is "twenty-one billion, seven hundred fifty-three million, three hundred sixty-eight thousand, one hundred twenty".