90305798087232 has 1344 divisors, whose sum is σ = 343896457524480. Its totient is φ = 23017623552000.

The previous prime is 90305798087173. The next prime is 90305798087261. The reversal of 90305798087232 is 23278089750309.

90305798087232 is a `hidden beast` number, since 9 + 0 + 30 + 579 + 8 + 0 + 8 + 7 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 90305798087232.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4828919482 + ... + 4828938182.

It is an arithmetic number, because the mean of its divisors is an integer number (255875340420).

Almost surely, 2^{90305798087232} 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 90305798087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171948228762240).

90305798087232 is an abundant number, since it is smaller than the sum of its proper divisors (253590659437248).

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

90305798087232 is a wasteful number, since it uses less digits than its factorization.

90305798087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18897 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 90305798087232 in words is "ninety trillion, three hundred five billion, seven hundred ninety-eight million, eighty-seven thousand, two hundred thirty-two".