90205432011205 has 64 divisors (see below), whose sum is σ = 131267788185600. Its totient is φ = 58175482210560.

The previous prime is 90205432011199. The next prime is 90205432011217. The reversal of 90205432011205 is 50211023450209.

It is not a de Polignac number, because 90205432011205 - 2³ = 90205432011197 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7570776 + ... + 15418414.

It is an arithmetic number, because the mean of its divisors is an integer number (2051059190400).

Almost surely, 2^{90205432011205} is an apocalyptic number.

It is an amenable number.

90205432011205 is a deficient number, since it is larger than the sum of its proper divisors (41062356174395).

90205432011205 is a wasteful number, since it uses less digits than its factorization.

90205432011205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847914.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 90205432011205 in words is "ninety trillion, two hundred five billion, four hundred thirty-two million, eleven thousand, two hundred five".