89547324160 has 576 divisors, whose sum is σ = 268547457024. Its totient is φ = 27939225600.

The previous prime is 89547324149. The next prime is 89547324193. The reversal of 89547324160 is 6142374598.

It is a happy number.

It is a super-2 number, since 2×89547324160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683567295 + ... + 683567425.

It is an arithmetic number, because the mean of its divisors is an integer number (466228224).

It is a 1-persistent number, because it is pandigital, but 2⋅89547324160 = 179094648320 is not.

Almost surely, 2^89547324160 is an apocalyptic number.

89547324160 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 89547324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134273728512).

89547324160 is an abundant number, since it is smaller than the sum of its proper divisors (179000132864).

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

89547324160 is a wasteful number, since it uses less digits than its factorization.

89547324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 89547324160 in words is "eighty-nine billion, five hundred forty-seven million, three hundred twenty-four thousand, one hundred sixty".