90205132011205 has 32 divisors (see below), whose sum is σ = 112208915800800. Its totient is φ = 69569151467520.

The previous prime is 90205132011161. The next prime is 90205132011227. The reversal of 90205132011205 is 50211023150209.

It can be written as a sum of positive squares in 16 ways, for example, as 89341797422241 + 863334588964 = 9452079^2 + 929158^2 .

It is not a de Polignac number, because 90205132011205 - 2¹⁹ = 90205131486917 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755562 + ... + 13545931.

It is an arithmetic number, because the mean of its divisors is an integer number (3506528618775).

Almost surely, 2^{90205132011205} is an apocalyptic number.

It is an amenable number.

90205132011205 is a deficient number, since it is larger than the sum of its proper divisors (22003783789595).

90205132011205 is a wasteful number, since it uses less digits than its factorization.

90205132011205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301881.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 90205132011205 in words is "ninety trillion, two hundred five billion, one hundred thirty-two million, eleven thousand, two hundred five".