13500198516 has 192 divisors, whose sum is σ = 38745907200. Its totient is φ = 3572885376.

The previous prime is 13500198451. The next prime is 13500198533. The reversal of 13500198516 is 61589100531.

13500198516 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 63 ways as a sum of consecutive naturals, for example, 28908115 + ... + 28908581.

It is an arithmetic number, because the mean of its divisors is an integer number (201801600).

Almost surely, 2^13500198516 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 13500198516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372953600).

13500198516 is an abundant number, since it is smaller than the sum of its proper divisors (25245708684).

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

13500198516 is a wasteful number, since it uses less digits than its factorization.

13500198516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 13500198516 in words is "thirteen billion, five hundred million, one hundred ninety-eight thousand, five hundred sixteen".