89416219200 has 2016 divisors, whose sum is σ = 418801052160. Its totient is φ = 16411852800.

The previous prime is 89416219163. The next prime is 89416219247. The reversal of 89416219200 is 291261498.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 835665547 + ... + 835665653.

Almost surely, 2^89416219200 is an apocalyptic number.

89416219200 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 89416219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209400526080).

89416219200 is an abundant number, since it is smaller than the sum of its proper divisors (329384832960).

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

89416219200 is a wasteful number, since it uses less digits than its factorization.

89416219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 89416219200 in words is "eighty-nine billion, four hundred sixteen million, two hundred nineteen thousand, two hundred".