10026117167 has 8 divisors (see below), whose sum is σ = 10947000960. Its totient is φ = 9106803160.

The previous prime is 10026117139. The next prime is 10026117203. The reversal of 10026117167 is 76171162001.

10026117167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10026117167 - 2¹⁰ = 10026116143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026117967) 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 7 ways as a sum of consecutive naturals, for example, 379067 + ... + 404652.

It is an arithmetic number, because the mean of its divisors is an integer number (1368375120).

Almost surely, 2^10026117167 is an apocalyptic number.

10026117167 is a deficient number, since it is larger than the sum of its proper divisors (920883793).

10026117167 is a wasteful number, since it uses less digits than its factorization.

10026117167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784893.

The product of its (nonzero) digits is 3528, while the sum is 32.

Adding to 10026117167 its reverse (76171162001), we get a palindrome (86197279168).

The spelling of 10026117167 in words is "ten billion, twenty-six million, one hundred seventeen thousand, one hundred sixty-seven".