10666711000 has 128 divisors (see below), whose sum is σ = 27501664320. Its totient is φ = 3840000000.

The previous prime is 10666710961. The next prime is 10666711051. The reversal of 10666711000 is 11766601.

It is a super-2 number, since 2×10666711000² (a number of 21 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 10666711000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106200 + ... + 1115800.

Almost surely, 2^10666711000 is an apocalyptic number.

10666711000 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 10666711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750832160).

10666711000 is an abundant number, since it is smaller than the sum of its proper divisors (16834953320).

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

10666711000 is a wasteful number, since it uses less digits than its factorization.

10666711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 10666711000 in words is "ten billion, six hundred sixty-six million, seven hundred eleven thousand".