13605104128 has 320 divisors, whose sum is σ = 36627655680. Its totient is φ = 4888166400.

The previous prime is 13605104099. The next prime is 13605104143. The reversal of 13605104128 is 82140150631.

It is a self number, because there is not a number n which added to its sum of digits gives 13605104128.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30711075 + ... + 30711517.

It is an arithmetic number, because the mean of its divisors is an integer number (114461424).

Almost surely, 2^13605104128 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 13605104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313827840).

13605104128 is an abundant number, since it is smaller than the sum of its proper divisors (23022551552).

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

13605104128 is a wasteful number, since it uses less digits than its factorization.

13605104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 13605104128 its reverse (82140150631), we get a palindrome (95745254759).

The spelling of 13605104128 in words is "thirteen billion, six hundred five million, one hundred four thousand, one hundred twenty-eight".