13635085128 has 32 divisors (see below), whose sum is σ = 38957386560. Its totient is φ = 3895738560.

The previous prime is 13635085099. The next prime is 13635085141. The reversal of 13635085128 is 82158053631.

13635085128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13635085128.

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 7 ways as a sum of consecutive naturals, for example, 40580443 + ... + 40580778.

It is an arithmetic number, because the mean of its divisors is an integer number (1217418330).

Almost surely, 2^13635085128 is an apocalyptic number.

It is an amenable number.

13635085128 is an abundant number, since it is smaller than the sum of its proper divisors (25322301432).

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

13635085128 is a wasteful number, since it uses less digits than its factorization.

13635085128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81161237 (or 81161233 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 13635085128 in words is "thirteen billion, six hundred thirty-five million, eighty-five thousand, one hundred twenty-eight".