10666790000 has 200 divisors, whose sum is σ = 28077012480. Its totient is φ = 3909600000.

The previous prime is 10666789993. The next prime is 10666790021. The reversal of 10666790000 is 9766601.

It is a happy number.

10666790000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10666790000² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 5889095 + ... + 5890905.

Almost surely, 2^10666790000 is an apocalyptic number.

10666790000 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 10666790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038506240).

10666790000 is an abundant number, since it is smaller than the sum of its proper divisors (17410222480).

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

10666790000 is a wasteful number, since it uses less digits than its factorization.

10666790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 10666790000 in words is "ten billion, six hundred sixty-six million, seven hundred ninety thousand".