13505867168 has 96 divisors (see below), whose sum is σ = 28254199680. Its totient is φ = 6342082560.

The previous prime is 13505867131. The next prime is 13505867173. The reversal of 13505867168 is 86176850531.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9922808 + ... + 9924168.

It is an arithmetic number, because the mean of its divisors is an integer number (294314580).

Almost surely, 2^13505867168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127099840).

13505867168 is an abundant number, since it is smaller than the sum of its proper divisors (14748332512).

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

13505867168 is a wasteful number, since it uses less digits than its factorization.

13505867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 13505867168 in words is "thirteen billion, five hundred five million, eight hundred sixty-seven thousand, one hundred sixty-eight".