89209098720 has 288 divisors, whose sum is σ = 348473990592. Its totient is φ = 20357922816.

The previous prime is 89209098659. The next prime is 89209098733. The reversal of 89209098720 is 2789090298.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6575464 + ... + 6589016.

It is an arithmetic number, because the mean of its divisors is an integer number (1209979134).

Almost surely, 2^89209098720 is an apocalyptic number.

89209098720 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 89209098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174236995296).

89209098720 is an abundant number, since it is smaller than the sum of its proper divisors (259264891872).

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

89209098720 is a wasteful number, since it uses less digits than its factorization.

89209098720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14234 (or 14223 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 89209098720 in words is "eighty-nine billion, two hundred nine million, ninety-eight thousand, seven hundred twenty".