89416499200 has 384 divisors, whose sum is σ = 262123223040. Its totient is φ = 29609164800.

The previous prime is 89416499197. The next prime is 89416499209. The reversal of 89416499200 is 299461498.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89416499209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177766149 + ... + 177766651.

It is an arithmetic number, because the mean of its divisors is an integer number (682612560).

Almost surely, 2^89416499200 is an apocalyptic number.

89416499200 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 89416499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131061611520).

89416499200 is an abundant number, since it is smaller than the sum of its proper divisors (172706723840).

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

89416499200 is an equidigital number, since it uses as much as digits as its factorization.

89416499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 89416499200 in words is "eighty-nine billion, four hundred sixteen million, four hundred ninety-nine thousand, two hundred".