89805120720 has 640 divisors, whose sum is σ = 348046295040. Its totient is φ = 18690048000.

The previous prime is 89805120701. The next prime is 89805120767. The reversal of 89805120720 is 2702150898.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119580345 + ... + 119581095.

It is an arithmetic number, because the mean of its divisors is an integer number (543822336).

Almost surely, 2^89805120720 is an apocalyptic number.

89805120720 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 89805120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174023147520).

89805120720 is an abundant number, since it is smaller than the sum of its proper divisors (258241174320).

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

89805120720 is a wasteful number, since it uses less digits than its factorization.

89805120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 89805120720 in words is "eighty-nine billion, eight hundred five million, one hundred twenty thousand, seven hundred twenty".