89579872095168 has 896 divisors, whose sum is σ = 322938855751680. Its totient is φ = 21240080547840.

The previous prime is 89579872095167. The next prime is 89579872095229. The reversal of 89579872095168 is 86159027897598.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89579872095167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 969632338 + ... + 969724718.

It is an arithmetic number, because the mean of its divisors is an integer number (360422830080).

Almost surely, 2^{89579872095168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89579872095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161469427875840).

89579872095168 is an abundant number, since it is smaller than the sum of its proper divisors (233358983656512).

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

89579872095168 is a wasteful number, since it uses less digits than its factorization.

89579872095168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92585 (or 92575 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 84.

The spelling of 89579872095168 in words is "eighty-nine trillion, five hundred seventy-nine billion, eight hundred seventy-two million, ninety-five thousand, one hundred sixty-eight".