21010566610944 has 456 divisors, whose sum is σ = 64292517893760. Its totient is φ = 6597893947392.

The previous prime is 21010566610937. The next prime is 21010566610991. The reversal of 21010566610944 is 44901666501012.

It is a super-2 number, since 2×21010566610944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21010566610944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3635672247 + ... + 3635678025.

Almost surely, 2^{21010566610944} is an apocalyptic number.

21010566610944 is a gapful number since it is divisible by the number (24) 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 21010566610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32146258946880).

21010566610944 is an abundant number, since it is smaller than the sum of its proper divisors (43281951282816).

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

21010566610944 is an frugal number, since it uses more digits than its factorization.

21010566610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21010566610944 in words is "twenty-one trillion, ten billion, five hundred sixty-six million, six hundred ten thousand, nine hundred forty-four".