90585968006 has 8 divisors (see below), whose sum is σ = 136173701664. Its totient is φ = 45194734120.

The previous prime is 90585967993. The next prime is 90585968029. The reversal of 90585968006 is 60086958509.

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

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 49123790 + ... + 49125633.

It is an arithmetic number, because the mean of its divisors is an integer number (17021712708).

Almost surely, 2^90585968006 is an apocalyptic number.

90585968006 is a deficient number, since it is larger than the sum of its proper divisors (45587733658).

90585968006 is a wasteful number, since it uses less digits than its factorization.

90585968006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98249886.

The product of its (nonzero) digits is 4665600, while the sum is 56.

The spelling of 90585968006 in words is "ninety billion, five hundred eighty-five million, nine hundred sixty-eight thousand, six".