10667165172 has 12 divisors (see below), whose sum is σ = 24890052096. Its totient is φ = 3555721720.

The previous prime is 10667165081. The next prime is 10667165177. The reversal of 10667165172 is 27156176601.

10667165172 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 (12).

It is a super-2 number, since 2×10667165172² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667165177) 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 3 ways as a sum of consecutive naturals, for example, 444465204 + ... + 444465227.

It is an arithmetic number, because the mean of its divisors is an integer number (2074171008).

Almost surely, 2^10667165172 is an apocalyptic number.

10667165172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10667165172 is an abundant number, since it is smaller than the sum of its proper divisors (14222886924).

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

10667165172 is a wasteful number, since it uses less digits than its factorization.

10667165172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888930438 (or 888930436 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 10667165172 in words is "ten billion, six hundred sixty-seven million, one hundred sixty-five thousand, one hundred seventy-two".