90000900009 has 32 divisors (see below), whose sum is σ = 141355719680. Its totient is φ = 56495750400.

The previous prime is 90000899999. The next prime is 90000900131.

90000900009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90000900009 - 2⁵ = 90000899977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

90000900009 is a modest number, since divided by 900009 gives 9 as remainder.

It is not an unprimeable number, because it can be changed into a prime (90000902009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422112 + ... + 1484049.

It is an arithmetic number, because the mean of its divisors is an integer number (4417366240).

Almost surely, 2^90000900009 is an apocalyptic number.

It is an amenable number.

90000900009 is a deficient number, since it is larger than the sum of its proper divisors (51354819671).

90000900009 is a wasteful number, since it uses less digits than its factorization.

90000900009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906238 (or 2906232 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 90000900009 in words is "ninety billion, nine hundred thousand, nine".