89566612128 has 144 divisors (see below), whose sum is σ = 292086902016. Its totient is φ = 25502952960.

The previous prime is 89566612111. The next prime is 89566612129. The reversal of 89566612128 is 82121666598.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×89566612128³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89566612129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514873 + ... + 666503.

It is an arithmetic number, because the mean of its divisors is an integer number (2028381264).

Almost surely, 2^89566612128 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 89566612128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146043451008).

89566612128 is an abundant number, since it is smaller than the sum of its proper divisors (202520289888).

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

89566612128 is a wasteful number, since it uses less digits than its factorization.

89566612128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151947 (or 151936 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 89566612128 in words is "eighty-nine billion, five hundred sixty-six million, six hundred twelve thousand, one hundred twenty-eight".