10171973838160 has 160 divisors (see below), whose sum is σ = 25133642772480. Its totient is φ = 3823680612864.

The previous prime is 10171973838107. The next prime is 10171973838179. The reversal of 10171973838160 is 6183837917101.

It is a happy number.

It is a super-2 number, since 2×10171973838160² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9005949 + ... + 10072291.

It is an arithmetic number, because the mean of its divisors is an integer number (157085267328).

Almost surely, 2^{10171973838160} is an apocalyptic number.

10171973838160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10171973838160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566821386240).

10171973838160 is an abundant number, since it is smaller than the sum of its proper divisors (14961668934320).

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

10171973838160 is a wasteful number, since it uses less digits than its factorization.

10171973838160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066505 (or 1066499 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 10171973838160 in words is "ten trillion, one hundred seventy-one billion, nine hundred seventy-three million, eight hundred thirty-eight thousand, one hundred sixty".