90009999990009 has 24 divisors (see below), whose sum is σ = 141838467468672. Its totient is φ = 54549773572320.

The previous prime is 90009999989993. The next prime is 90009999990041.

90009999990009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90009999990009 - 2⁴ = 90009999989993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90009999910009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11393089 + ... + 17601774.

It is an arithmetic number, because the mean of its divisors is an integer number (5909936144528).

Almost surely, 2^{90009999990009} is an apocalyptic number.

90009999990009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90009999990009 is a deficient number, since it is larger than the sum of its proper divisors (51828467478663).

90009999990009 is a wasteful number, since it uses less digits than its factorization.

90009999990009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026237 (or 29026234 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 90009999990009 in words is "ninety trillion, nine billion, nine hundred ninety-nine million, nine hundred ninety thousand, nine".