89604484200 has 960 divisors, whose sum is σ = 401543049600. Its totient is φ = 17969817600.

The previous prime is 89604484157. The next prime is 89604484237. The reversal of 89604484200 is 248440698.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36173362 + ... + 36175838.

It is an arithmetic number, because the mean of its divisors is an integer number (418274010).

Almost surely, 2^89604484200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89604484200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200771524800).

89604484200 is an abundant number, since it is smaller than the sum of its proper divisors (311938565400).

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

89604484200 is a wasteful number, since it uses less digits than its factorization.

89604484200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 89604484200 in words is "eighty-nine billion, six hundred four million, four hundred eighty-four thousand, two hundred".