13530236265616 has 80 divisors (see below), whose sum is σ = 30705909696000. Its totient is φ = 5654407772160.

The previous prime is 13530236265599. The next prime is 13530236265671. The reversal of 13530236265616 is 61656263203531.

It is a self number, because there is not a number n which added to its sum of digits gives 13530236265616.

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, 8442420 + ... + 9916396.

It is an arithmetic number, because the mean of its divisors is an integer number (383823871200).

Almost surely, 2^{13530236265616} is an apocalyptic number.

13530236265616 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 13530236265616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352954848000).

13530236265616 is an abundant number, since it is smaller than the sum of its proper divisors (17175673430384).

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

13530236265616 is a wasteful number, since it uses less digits than its factorization.

13530236265616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476032 (or 1476026 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

The spelling of 13530236265616 in words is "thirteen trillion, five hundred thirty billion, two hundred thirty-six million, two hundred sixty-five thousand, six hundred sixteen".