13871200080 has 80 divisors (see below), whose sum is σ = 43124900544. Its totient is φ = 3688304640.

The previous prime is 13871200039. The next prime is 13871200159. The reversal of 13871200080 is 8000217831.

It is a happy number.

13871200080 is a nontrivial binomial coefficient, being equal to C(166561, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 166560.

Almost surely, 2^13871200080 is an apocalyptic number.

13871200080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13871200080 is the 166560-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13871200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21562450272).

13871200080 is an abundant number, since it is smaller than the sum of its proper divisors (29253700464).

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

13871200080 is a wasteful number, since it uses less digits than its factorization.

13871200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166924 (or 166918 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 13871200080 in words is "thirteen billion, eight hundred seventy-one million, two hundred thousand, eighty".