21713760000 has 540 divisors, whose sum is σ = 82927917072. Its totient is φ = 5443584000.

The previous prime is 21713759917. The next prime is 21713760007. The reversal of 21713760000 is 6731712.

21713760000 is a `hidden beast` number, since 21 + 7 + 1 + 37 + 600 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21713760007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24479557 + ... + 24480443.

Almost surely, 2^21713760000 is an apocalyptic number.

21713760000 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 21713760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41463958536).

21713760000 is an abundant number, since it is smaller than the sum of its proper divisors (61214157072).

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

21713760000 is an equidigital number, since it uses as much as digits as its factorization.

21713760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 21713760000 in words is "twenty-one billion, seven hundred thirteen million, seven hundred sixty thousand".