10666081296 has 200 divisors, whose sum is σ = 33495319704. Its totient is φ = 3257210880.

The previous prime is 10666081291. The next prime is 10666081331. The reversal of 10666081296 is 69218066601.

It can be written as a sum of positive squares in 4 ways, for example, as 330512400 + 10335568896 = 18180^2 + 101664^2 .

It is a super-2 number, since 2×10666081296² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666081291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2305866 + ... + 2310486.

Almost surely, 2^10666081296 is an apocalyptic number.

10666081296 is a gapful number since it is divisible by the number (16) 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 10666081296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747659852).

10666081296 is an abundant number, since it is smaller than the sum of its proper divisors (22829238408).

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

10666081296 is a wasteful number, since it uses less digits than its factorization.

10666081296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10666081296 in words is "ten billion, six hundred sixty-six million, eighty-one thousand, two hundred ninety-six".