89285803200 has 2016 divisors, whose sum is σ = 402140928000. Its totient is φ = 19160064000.

The previous prime is 89285803147. The next prime is 89285803237. The reversal of 89285803200 is 230858298.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 2880187185 + ... + 2880187215.

Almost surely, 2^89285803200 is an apocalyptic number.

89285803200 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 89285803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201070464000).

89285803200 is an abundant number, since it is smaller than the sum of its proper divisors (312855124800).

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

89285803200 is a wasteful number, since it uses less digits than its factorization.

89285803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 89285803200 in words is "eighty-nine billion, two hundred eighty-five million, eight hundred three thousand, two hundred".