15085867706809 has 27 divisors (see below), whose sum is σ = 15730563090567. Its totient is φ = 14467320614400.

The previous prime is 15085867706783. The next prime is 15085867706837. The reversal of 15085867706809 is 90860776858051.

The square root of 15085867706809 is 3884053.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6664426218025 + 8421441488784 = 2581555^2 + 2901972^2 .

It is not a de Polignac number, because 15085867706809 - 2⁷ = 15085867706681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15085867707809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9714015777 + ... + 9714017329.

Almost surely, 2^{15085867706809} is an apocalyptic number.

15085867706809 is the 3884053-rd square number.

15085867706809 is the 1942027-th centered octagonal number.

It is an amenable number.

15085867706809 is a deficient number, since it is larger than the sum of its proper divisors (644695383758).

15085867706809 is an frugal number, since it uses more digits than its factorization.

15085867706809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 70.

It can be divided in two parts, 15085867 and 706809, that added together give a square (15792676 = 3974²).

The spelling of 15085867706809 in words is "fifteen trillion, eighty-five billion, eight hundred sixty-seven million, seven hundred six thousand, eight hundred nine".