13615720538112 has 3584 divisors, whose sum is σ = 57833573253120. Its totient is φ = 3057647616000.

The previous prime is 13615720538059. The next prime is 13615720538183. The reversal of 13615720538112 is 21183502751631.

13615720538112 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 57 + 205 + 381 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 332090744812 + ... + 332090744852.

It is an arithmetic number, because the mean of its divisors is an integer number (16136599680).

Almost surely, 2^{13615720538112} is an apocalyptic number.

13615720538112 is a gapful number since it is divisible by the number (12) 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 13615720538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28916786626560).

13615720538112 is an abundant number, since it is smaller than the sum of its proper divisors (44217852715008).

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

13615720538112 is a wasteful number, since it uses less digits than its factorization.

13615720538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13615720538112 in words is "thirteen trillion, six hundred fifteen billion, seven hundred twenty million, five hundred thirty-eight thousand, one hundred twelve".