21066105216 has 128 divisors (see below), whose sum is σ = 60825945600. Its totient is φ = 6421137408.

The previous prime is 21066105173. The next prime is 21066105233. The reversal of 21066105216 is 61250166012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514425 + ... + 553863.

It is an arithmetic number, because the mean of its divisors is an integer number (475202700).

Almost surely, 2^21066105216 is an apocalyptic number.

21066105216 is a gapful number since it is divisible by the number (26) 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 21066105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412972800).

21066105216 is an abundant number, since it is smaller than the sum of its proper divisors (39759840384).

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

21066105216 is a wasteful number, since it uses less digits than its factorization.

21066105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39576 (or 39564 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 21066105216 in words is "twenty-one billion, sixty-six million, one hundred five thousand, two hundred sixteen".