90208664887936 has 256 divisors, whose sum is σ = 212514848501760. Its totient is φ = 37341557231616.

The previous prime is 90208664887919. The next prime is 90208664887993. The reversal of 90208664887936 is 63978846680209.

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 31 ways as a sum of consecutive naturals, for example, 3310031686 + ... + 3310058938.

It is an arithmetic number, because the mean of its divisors is an integer number (830136126960).

Almost surely, 2^{90208664887936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90208664887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106257424250880).

90208664887936 is an abundant number, since it is smaller than the sum of its proper divisors (122306183613824).

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

90208664887936 is a wasteful number, since it uses less digits than its factorization.

90208664887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28351 (or 28339 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 76.

The spelling of 90208664887936 in words is "ninety trillion, two hundred eight billion, six hundred sixty-four million, eight hundred eighty-seven thousand, nine hundred thirty-six".