90159872569 has 16 divisors (see below), whose sum is σ = 102262466880. Its totient is φ = 78800333760.

The previous prime is 90159872533. The next prime is 90159872573. The reversal of 90159872569 is 96527895109.

It is a cyclic number.

It is not a de Polignac number, because 90159872569 - 2⁷ = 90159872441 is a prime.

It is a super-2 number, since 2×90159872569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90159872069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346539 + ... + 548095.

It is an arithmetic number, because the mean of its divisors is an integer number (6391404180).

Almost surely, 2^90159872569 is an apocalyptic number.

It is an amenable number.

90159872569 is a deficient number, since it is larger than the sum of its proper divisors (12102594311).

90159872569 is a wasteful number, since it uses less digits than its factorization.

90159872569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203400.

The product of its (nonzero) digits is 12247200, while the sum is 61.

The spelling of 90159872569 in words is "ninety billion, one hundred fifty-nine million, eight hundred seventy-two thousand, five hundred sixty-nine".