13871799192160 has 384 divisors, whose sum is σ = 41500326309120. Its totient is φ = 4263780777984.

The previous prime is 13871799192149. The next prime is 13871799192203. The reversal of 13871799192160 is 6129199717831.

13871799192160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13871799192160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13871799192092 and 13871799192101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300043926 + ... + 300090154.

It is an arithmetic number, because the mean of its divisors is an integer number (108073766430).

Almost surely, 2^{13871799192160} is an apocalyptic number.

13871799192160 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 13871799192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750163154560).

13871799192160 is an abundant number, since it is smaller than the sum of its proper divisors (27628527116960).

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

13871799192160 is a wasteful number, since it uses less digits than its factorization.

13871799192160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46858 (or 46850 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 64.

The spelling of 13871799192160 in words is "thirteen trillion, eight hundred seventy-one billion, seven hundred ninety-nine million, one hundred ninety-two thousand, one hundred sixty".