13505878368 has 72 divisors (see below), whose sum is σ = 38787695856. Its totient is φ = 4457376000.

The previous prime is 13505878313. The next prime is 13505878447. The reversal of 13505878368 is 86387850531.

13505878368 is a `hidden beast` number, since 1 + 3 + 50 + 587 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203068 + ... + 261243.

It is an arithmetic number, because the mean of its divisors is an integer number (538717998).

Almost surely, 2^13505878368 is an apocalyptic number.

13505878368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13505878368 is an abundant number, since it is smaller than the sum of its proper divisors (25281817488).

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

13505878368 is a wasteful number, since it uses less digits than its factorization.

13505878368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464428 (or 464417 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13505878368 in words is "thirteen billion, five hundred five million, eight hundred seventy-eight thousand, three hundred sixty-eight".