89843281920 has 624 divisors, whose sum is σ = 369231932160. Its totient is φ = 20527644672.

The previous prime is 89843281903. The next prime is 89843281921. The reversal of 89843281920 is 2918234898.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89843281921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34835191 + ... + 34837769.

It is an arithmetic number, because the mean of its divisors is an integer number (591717840).

Almost surely, 2^89843281920 is an apocalyptic number.

89843281920 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 89843281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184615966080).

89843281920 is an abundant number, since it is smaller than the sum of its proper divisors (279388650240).

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

89843281920 is an equidigital number, since it uses as much as digits as its factorization.

89843281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 89843281920 in words is "eighty-nine billion, eight hundred forty-three million, two hundred eighty-one thousand, nine hundred twenty".