10666126507 has 24 divisors (see below), whose sum is σ = 11364718176. Its totient is φ = 10003824000.

The previous prime is 10666126489. The next prime is 10666126531. The reversal of 10666126507 is 70562166601.

10666126507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10666126507 - 2⁷ = 10666126379 is a prime.

It is a super-2 number, since 2×10666126507² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10666126507.

It is not an unprimeable number, because it can be changed into a prime (10666126547) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6579157 + ... + 6580777.

It is an arithmetic number, because the mean of its divisors is an integer number (473529924).

Almost surely, 2^10666126507 is an apocalyptic number.

10666126507 is a deficient number, since it is larger than the sum of its proper divisors (698591669).

10666126507 is a wasteful number, since it uses less digits than its factorization.

10666126507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10666126507 in words is "ten billion, six hundred sixty-six million, one hundred twenty-six thousand, five hundred seven".