90585792018 has 32 divisors (see below), whose sum is σ = 205983201600. Its totient is φ = 29493047808.

The previous prime is 90585792007. The next prime is 90585792047. The reversal of 90585792018 is 81029758509.

90585792018 is a `hidden beast` number, since 9 + 0 + 58 + 579 + 2 + 0 + 18 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19503663 + ... + 19508306.

It is an arithmetic number, because the mean of its divisors is an integer number (6436975050).

Almost surely, 2^90585792018 is an apocalyptic number.

90585792018 is an abundant number, since it is smaller than the sum of its proper divisors (115397409582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90585792018 is a wasteful number, since it uses less digits than its factorization.

90585792018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39012023 (or 39012017 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 90585792018 in words is "ninety billion, five hundred eighty-five million, seven hundred ninety-two thousand, eighteen".