1585700115209 has 12 divisors (see below), whose sum is σ = 1844613068688. Its totient is φ = 1359154477800.

The previous prime is 1585700115199. The next prime is 1585700115289. The reversal of 1585700115209 is 9025110075851.

It is not a de Polignac number, because 1585700115209 - 2²⁸ = 1585431679753 is a prime.

It is a super-2 number, since 2×1585700115209² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1585700115209.

It is not an unprimeable number, because it can be changed into a prime (1585700115289) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5191094 + ... + 5488064.

It is an arithmetic number, because the mean of its divisors is an integer number (153717755724).

Almost surely, 2^{1585700115209} is an apocalyptic number.

It is an amenable number.

1585700115209 is a deficient number, since it is larger than the sum of its proper divisors (258912953479).

1585700115209 is a wasteful number, since it uses less digits than its factorization.

1585700115209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405956 (or 405949 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 44.

The spelling of 1585700115209 in words is "one trillion, five hundred eighty-five billion, seven hundred million, one hundred fifteen thousand, two hundred nine".