13543467960 has 128 divisors (see below), whose sum is σ = 44673638400. Its totient is φ = 3257372160.

The previous prime is 13543467907. The next prime is 13543467989. The reversal of 13543467960 is 6976434531.

13543467960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127246 + ... + 208034.

It is an arithmetic number, because the mean of its divisors is an integer number (349012800).

Almost surely, 2^13543467960 is an apocalyptic number.

13543467960 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 13543467960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336819200).

13543467960 is an abundant number, since it is smaller than the sum of its proper divisors (31130170440).

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

13543467960 is a wasteful number, since it uses less digits than its factorization.

13543467960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80941 (or 80937 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 13543467960 in words is "thirteen billion, five hundred forty-three million, four hundred sixty-seven thousand, nine hundred sixty".