7838534313585 has 24 divisors (see below), whose sum is σ = 13587213669120. Its totient is φ = 4180422138912.

The previous prime is 7838534313559. The next prime is 7838534313641. The reversal of 7838534313585 is 5853134358387.

7838534313585 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 5 + 3 + 43 + 1 + 3 + 585 = 666.

It is not a de Polignac number, because 7838534313585 - 2⁸ = 7838534313329 is a prime.

It is a super-2 number, since 2×7838534313585² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220019 + ... + 4143128.

It is an arithmetic number, because the mean of its divisors is an integer number (566133902880).

Almost surely, 2^{7838534313585} is an apocalyptic number.

It is an amenable number.

7838534313585 is a deficient number, since it is larger than the sum of its proper divisors (5748679355535).

7838534313585 is a wasteful number, since it uses less digits than its factorization.

7838534313585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395637 (or 5395634 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 7838534313585 in words is "seven trillion, eight hundred thirty-eight billion, five hundred thirty-four million, three hundred thirteen thousand, five hundred eighty-five".