13871738880 has 624 divisors, whose sum is σ = 53820767520. Its totient is φ = 3284140032.

The previous prime is 13871738869. The next prime is 13871738887. The reversal of 13871738880 is 8883717831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13871738887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59535244 + ... + 59535476.

It is an arithmetic number, because the mean of its divisors is an integer number (86251230).

Almost surely, 2^13871738880 is an apocalyptic number.

13871738880 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 13871738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26910383760).

13871738880 is an abundant number, since it is smaller than the sum of its proper divisors (39949028640).

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

13871738880 is a wasteful number, since it uses less digits than its factorization.

13871738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 13871738880 in words is "thirteen billion, eight hundred seventy-one million, seven hundred thirty-eight thousand, eight hundred eighty".