13202264160 has 144 divisors (see below), whose sum is σ = 45791600400. Its totient is φ = 3462865920.

The previous prime is 13202264143. The next prime is 13202264213. The reversal of 13202264160 is 6146220231.

13202264160 is a `hidden beast` number, since 1 + 3 + 20 + 226 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 12691 + ... + 162989.

It is an arithmetic number, because the mean of its divisors is an integer number (317997225).

Almost surely, 2^13202264160 is an apocalyptic number.

13202264160 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 13202264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895800200).

13202264160 is an abundant number, since it is smaller than the sum of its proper divisors (32589336240).

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

13202264160 is a wasteful number, since it uses less digits than its factorization.

13202264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150381 (or 150370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13202264160 its reverse (6146220231), we get a palindrome (19348484391).

The spelling of 13202264160 in words is "thirteen billion, two hundred two million, two hundred sixty-four thousand, one hundred sixty".