90208666300032 has 768 divisors, whose sum is σ = 326298305249280. Its totient is φ = 24217226035200.

The previous prime is 90208666300019. The next prime is 90208666300057. The reversal of 90208666300032 is 23000366680209.

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 95 ways as a sum of consecutive naturals, for example, 2246715157 + ... + 2246755307.

It is an arithmetic number, because the mean of its divisors is an integer number (424867584960).

Almost surely, 2^{90208666300032} 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 90208666300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163149152624640).

90208666300032 is an abundant number, since it is smaller than the sum of its proper divisors (236089638949248).

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

90208666300032 is a wasteful number, since it uses less digits than its factorization.

90208666300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40811 (or 40787 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 90208666300032 in words is "ninety trillion, two hundred eight billion, six hundred sixty-six million, three hundred thousand, thirty-two".