10666522880 has 144 divisors (see below), whose sum is σ = 27685121520. Its totient is φ = 3937370112.

The previous prime is 10666522861. The next prime is 10666522901. The reversal of 10666522880 is 8822566601.

It can be written as a sum of positive squares in 8 ways, for example, as 9422973184 + 1243549696 = 97072^2 + 35264^2 .

It is a super-2 number, since 2×10666522880² (a number of 21 digits) contains 22 as substring.

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, 2810264 + ... + 2814056.

Almost surely, 2^10666522880 is an apocalyptic number.

10666522880 is a gapful number since it is divisible by the number (10) 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 10666522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13842560760).

10666522880 is an abundant number, since it is smaller than the sum of its proper divisors (17018598640).

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

10666522880 is an frugal number, since it uses more digits than its factorization.

10666522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 10666522880 in words is "ten billion, six hundred sixty-six million, five hundred twenty-two thousand, eight hundred eighty".