13302505216 has 576 divisors, whose sum is σ = 38833514496. Its totient is φ = 4379443200.

The previous prime is 13302505189. The next prime is 13302505217. The reversal of 13302505216 is 61250520331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302505217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 218073826 + ... + 218073886.

It is an arithmetic number, because the mean of its divisors is an integer number (67419296).

Almost surely, 2^13302505216 is an apocalyptic number.

13302505216 is a gapful number since it is divisible by the number (16) 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 13302505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416757248).

13302505216 is an abundant number, since it is smaller than the sum of its proper divisors (25531009280).

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

13302505216 is a wasteful number, since it uses less digits than its factorization.

13302505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 13302505216 in words is "thirteen billion, three hundred two million, five hundred five thousand, two hundred sixteen".