13530839616 has 448 divisors, whose sum is σ = 47719488000. Its totient is φ = 3755372544.

The previous prime is 13530839593. The next prime is 13530839711. The reversal of 13530839616 is 61693803531.

13530839616 is a `hidden beast` number, since 13 + 530 + 8 + 3 + 96 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21929740 + ... + 21930356.

Almost surely, 2^13530839616 is an apocalyptic number.

13530839616 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 13530839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23859744000).

13530839616 is an abundant number, since it is smaller than the sum of its proper divisors (34188648384).

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

13530839616 is an equidigital number, since it uses as much as digits as its factorization.

13530839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13530839616 in words is "thirteen billion, five hundred thirty million, eight hundred thirty-nine thousand, six hundred sixteen".