10666081296000 has 1280 divisors, whose sum is σ = 42982058639520. Its totient is φ = 2605768704000.

The previous prime is 10666081295977. The next prime is 10666081296001. The reversal of 10666081296000 is 69218066601.

It can be written as a sum of positive squares in 16 ways, for example, as 1842187281984 + 8823894014016 = 1357272^2 + 2970504^2 .

It is a super-2 number, since 2×10666081296000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10666081296001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2308173690 + ... + 2308178310.

Almost surely, 2^{10666081296000} is an apocalyptic number.

10666081296000 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 10666081296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491029319760).

10666081296000 is an abundant number, since it is smaller than the sum of its proper divisors (32315977343520).

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

10666081296000 is a wasteful number, since it uses less digits than its factorization.

10666081296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4781 counting only the distinct ones).

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

The spelling of 10666081296000 in words is "ten trillion, six hundred sixty-six billion, eighty-one million, two hundred ninety-six thousand".