13871640960 has 256 divisors, whose sum is σ = 52019755200. Its totient is φ = 3481436160.

The previous prime is 13871640953. The next prime is 13871640971. The reversal of 13871640960 is 6904617831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 270150 + ... + 317370.

Almost surely, 2^13871640960 is an apocalyptic number.

13871640960 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 13871640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26009877600).

13871640960 is an abundant number, since it is smaller than the sum of its proper divisors (38148114240).

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

13871640960 is a wasteful number, since it uses less digits than its factorization.

13871640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47266 (or 47248 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13871640960 in words is "thirteen billion, eight hundred seventy-one million, six hundred forty thousand, nine hundred sixty".