89685332305920 has 1728 divisors, whose sum is σ = 363917662617600. Its totient is φ = 20346733854720.

The previous prime is 89685332305889. The next prime is 89685332305937. The reversal of 89685332305920 is 2950323358698.

89685332305920 is a `hidden beast` number, since 8 + 9 + 6 + 8 + 5 + 3 + 3 + 2 + 30 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10949249025 + ... + 10949257215.

It is an arithmetic number, because the mean of its divisors is an integer number (210600499200).

Almost surely, 2^{89685332305920} is an apocalyptic number.

89685332305920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89685332305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958831308800).

89685332305920 is an abundant number, since it is smaller than the sum of its proper divisors (274232330311680).

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

89685332305920 is a wasteful number, since it uses less digits than its factorization.

89685332305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 89685332305920 in words is "eighty-nine trillion, six hundred eighty-five billion, three hundred thirty-two million, three hundred five thousand, nine hundred twenty".