13217875824 has 80 divisors (see below), whose sum is σ = 34502925600. Its totient is φ = 4360151040.

The previous prime is 13217875813. The next prime is 13217875841. The reversal of 13217875824 is 42857871231.

13217875824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2006424 + ... + 2013000.

It is an arithmetic number, because the mean of its divisors is an integer number (431286570).

Almost surely, 2^13217875824 is an apocalyptic number.

It is an amenable number.

13217875824 is an abundant number, since it is smaller than the sum of its proper divisors (21285049776).

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

13217875824 is a wasteful number, since it uses less digits than its factorization.

13217875824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7012 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The spelling of 13217875824 in words is "thirteen billion, two hundred seventeen million, eight hundred seventy-five thousand, eight hundred twenty-four".