89227919074400 has 144 divisors (see below), whose sum is σ = 218081318683536. Its totient is φ = 35649625221120.

The previous prime is 89227919074373. The next prime is 89227919074403. The reversal of 89227919074400 is 447091972298.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89227919074403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3339729842 + ... + 3339756558.

It is an arithmetic number, because the mean of its divisors is an integer number (1514453601969).

Almost surely, 2^{89227919074400} is an apocalyptic number.

89227919074400 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 89227919074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109040659341768).

89227919074400 is an abundant number, since it is smaller than the sum of its proper divisors (128853399609136).

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

89227919074400 is a wasteful number, since it uses less digits than its factorization.

89227919074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31441 (or 31428 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 89227919074400 in words is "eighty-nine trillion, two hundred twenty-seven billion, nine hundred nineteen million, seventy-four thousand, four hundred".