21713905445120 has 432 divisors, whose sum is σ = 63097438199040. Its totient is φ = 7000154456064.

The previous prime is 21713905445083. The next prime is 21713905445131. The reversal of 21713905445120 is 2154450931712.

It is a super-2 number, since 2×21713905445120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717349346 + ... + 717379614.

It is an arithmetic number, because the mean of its divisors is an integer number (146058884720).

Almost surely, 2^{21713905445120} is an apocalyptic number.

21713905445120 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 21713905445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31548719099520).

21713905445120 is an abundant number, since it is smaller than the sum of its proper divisors (41383532753920).

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

21713905445120 is an equidigital number, since it uses as much as digits as its factorization.

21713905445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30438 (or 30365 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 21713905445120 in words is "twenty-one trillion, seven hundred thirteen billion, nine hundred five million, four hundred forty-five thousand, one hundred twenty".