10666086288 has 160 divisors (see below), whose sum is σ = 32423258112. Its totient is φ = 2978726400.

The previous prime is 10666086271. The next prime is 10666086293. The reversal of 10666086288 is 88268066601.

It is a super-2 number, since 2×10666086288² (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 10666086288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8037081 + ... + 8038407.

Almost surely, 2^10666086288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666086288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211629056).

10666086288 is an abundant number, since it is smaller than the sum of its proper divisors (21757171824).

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

10666086288 is a wasteful number, since it uses less digits than its factorization.

10666086288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 10666086288 in words is "ten billion, six hundred sixty-six million, eighty-six thousand, two hundred eighty-eight".