10679171538112 has 168 divisors, whose sum is σ = 26921685795840. Its totient is φ = 4156176407040.

The previous prime is 10679171538047. The next prime is 10679171538149. The reversal of 10679171538112 is 21183517197601.

It is a super-2 number, since 2×10679171538112² (a number of 27 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 10679171538112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31533393 + ... + 31870255.

Almost surely, 2^{10679171538112} 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 10679171538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460842897920).

10679171538112 is an abundant number, since it is smaller than the sum of its proper divisors (16242514257728).

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

10679171538112 is a wasteful number, since it uses less digits than its factorization.

10679171538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337819 (or 337802 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 52.

The spelling of 10679171538112 in words is "ten trillion, six hundred seventy-nine billion, one hundred seventy-one million, five hundred thirty-eight thousand, one hundred twelve".