89109880320 has 160 divisors (see below), whose sum is σ = 287812391328. Its totient is φ = 23517462528.

The previous prime is 89109880313. The next prime is 89109880331. The reversal of 89109880320 is 2308890198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89109880320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 685152 + ... + 804768.

Almost surely, 2^89109880320 is an apocalyptic number.

89109880320 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 89109880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143906195664).

89109880320 is an abundant number, since it is smaller than the sum of its proper divisors (198702511008).

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

89109880320 is a wasteful number, since it uses less digits than its factorization.

89109880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119740 (or 119724 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 89109880320 in words is "eighty-nine billion, one hundred nine million, eight hundred eighty thousand, three hundred twenty".