10006011411167 has 8 divisors (see below), whose sum is σ = 10048362012000. Its totient is φ = 9963698985184.

The previous prime is 10006011411161. The next prime is 10006011411257. The reversal of 10006011411167 is 76111411060001.

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 10006011411167 - 2⁶ = 10006011411103 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 (10006011411161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9018323 + ... + 10066884.

It is an arithmetic number, because the mean of its divisors is an integer number (1256045251500).

Almost surely, 2^{10006011411167} is an apocalyptic number.

10006011411167 is a deficient number, since it is larger than the sum of its proper divisors (42350600833).

10006011411167 is a wasteful number, since it uses less digits than its factorization.

10006011411167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19087425.

The product of its (nonzero) digits is 1008, while the sum is 29.

Adding to 10006011411167 its reverse (76111411060001), we get a palindrome (86117422471168).

The spelling of 10006011411167 in words is "ten trillion, six billion, eleven million, four hundred eleven thousand, one hundred sixty-seven".