21716534546224 has 240 divisors, whose sum is σ = 49787448310080. Its totient is φ = 9148646277120.

The previous prime is 21716534546221. The next prime is 21716534546243. The reversal of 21716534546224 is 42264543561712.

It is not an unprimeable number, because it can be changed into a prime (21716534546221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5552678829 + ... + 5552682739.

It is an arithmetic number, because the mean of its divisors is an integer number (207447701292).

Almost surely, 2^{21716534546224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21716534546224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893724155040).

21716534546224 is an abundant number, since it is smaller than the sum of its proper divisors (28070913763856).

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

21716534546224 is a wasteful number, since it uses less digits than its factorization.

21716534546224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4535 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 52.

The spelling of 21716534546224 in words is "twenty-one trillion, seven hundred sixteen billion, five hundred thirty-four million, five hundred forty-six thousand, two hundred twenty-four".