89448854584320 has 4224 divisors, whose sum is σ = 415311039037440. Its totient is φ = 17924503633920.

The previous prime is 89448854584291. The next prime is 89448854584343. The reversal of 89448854584320 is 2348545884498.

It is a happy number.

89448854584320 is a `hidden beast` number, since 8 + 9 + 4 + 4 + 8 + 8 + 5 + 4 + 584 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 401115939729 + ... + 401115939951.

Almost surely, 2^{89448854584320} is an apocalyptic number.

89448854584320 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 89448854584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207655519518720).

89448854584320 is an abundant number, since it is smaller than the sum of its proper divisors (325862184453120).

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

89448854584320 is a wasteful number, since it uses less digits than its factorization.

89448854584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 72.

The spelling of 89448854584320 in words is "eighty-nine trillion, four hundred forty-eight billion, eight hundred fifty-four million, five hundred eighty-four thousand, three hundred twenty".