90585792017 has 16 divisors (see below), whose sum is σ = 111853497600. Its totient is φ = 73077609024.

The previous prime is 90585792007. The next prime is 90585792047. The reversal of 90585792017 is 71029758509.

It is a happy number.

It is not a de Polignac number, because 90585792017 - 2⁶ = 90585791953 is a prime.

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 90585792017.

It is not an unprimeable number, because it can be changed into a prime (90585792007) 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 15 ways as a sum of consecutive naturals, for example, 7761773 + ... + 7773434.

It is an arithmetic number, because the mean of its divisors is an integer number (6990843600).

Almost surely, 2^90585792017 is an apocalyptic number.

It is an amenable number.

90585792017 is a deficient number, since it is larger than the sum of its proper divisors (21267705583).

90585792017 is a wasteful number, since it uses less digits than its factorization.

90585792017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15535245 (or 15535231 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 53.

The spelling of 90585792017 in words is "ninety billion, five hundred eighty-five million, seven hundred ninety-two thousand, seventeen".