89832107704080 has 160 divisors (see below), whose sum is σ = 318327054336000. Its totient is φ = 20528877067776.

The previous prime is 89832107704069. The next prime is 89832107704159. The reversal of 89832107704080 is 8040770123898.

It is a self number, because there is not a number n which added to its sum of digits gives 89832107704080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2828721 + ... + 13699119.

It is an arithmetic number, because the mean of its divisors is an integer number (1989544089600).

Almost surely, 2^{89832107704080} is an apocalyptic number.

89832107704080 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 89832107704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159163527168000).

89832107704080 is an abundant number, since it is smaller than the sum of its proper divisors (228494946631920).

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

89832107704080 is a wasteful number, since it uses less digits than its factorization.

89832107704080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875341 (or 10875335 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 89832107704080 in words is "eighty-nine trillion, eight hundred thirty-two billion, one hundred seven million, seven hundred four thousand, eighty".