90027872009 has 8 divisors (see below), whose sum is σ = 95561351208. Its totient is φ = 84520806400.

The previous prime is 90027872003. The next prime is 90027872017.

90027872009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 47459929609 + 42567942400 = 217853^2 + 206320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90027872009 - 2²⁰ = 90026823433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90027872003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6596372 + ... + 6610005.

It is an arithmetic number, because the mean of its divisors is an integer number (11945168901).

Almost surely, 2^90027872009 is an apocalyptic number.

It is an amenable number.

90027872009 is a deficient number, since it is larger than the sum of its proper divisors (5533479199).

90027872009 is a wasteful number, since it uses less digits than its factorization.

90027872009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13206795.

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 90027872009 in words is "ninety billion, twenty-seven million, eight hundred seventy-two thousand, nine".