13971170880 has 336 divisors, whose sum is σ = 49040881344. Its totient is φ = 3650088960.

The previous prime is 13971170867. The next prime is 13971170887. The reversal of 13971170880 is 8807117931.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13971170887) 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, 50437302 + ... + 50437578.

It is an arithmetic number, because the mean of its divisors is an integer number (145955004).

Almost surely, 2^13971170880 is an apocalyptic number.

13971170880 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 13971170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520440672).

13971170880 is an abundant number, since it is smaller than the sum of its proper divisors (35069710464).

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

13971170880 is a wasteful number, since it uses less digits than its factorization.

13971170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 13971170880 in words is "thirteen billion, nine hundred seventy-one million, one hundred seventy thousand, eight hundred eighty".