13535516764 has 48 divisors (see below), whose sum is σ = 30134764800. Its totient is φ = 5273572080.

The previous prime is 13535516759. The next prime is 13535516821. The reversal of 13535516764 is 46761553531.

13535516764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 433342 + ... + 463525.

It is an arithmetic number, because the mean of its divisors is an integer number (627807600).

Almost surely, 2^13535516764 is an apocalyptic number.

13535516764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13535516764 is an abundant number, since it is smaller than the sum of its proper divisors (16599248036).

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

13535516764 is a wasteful number, since it uses less digits than its factorization.

13535516764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896903 (or 896887 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 46.

The spelling of 13535516764 in words is "thirteen billion, five hundred thirty-five million, five hundred sixteen thousand, seven hundred sixty-four".