89436165120 has 352 divisors, whose sum is σ = 318667789440. Its totient is φ = 23787601920.

The previous prime is 89436165109. The next prime is 89436165139. The reversal of 89436165120 is 2156163498.

89436165120 is a `hidden beast` number, since 8 + 9 + 4 + 3 + 616 + 5 + 1 + 20 = 666.

It is a super-2 number, since 2×89436165120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 81975775 + ... + 81976865.

It is an arithmetic number, because the mean of its divisors is an integer number (905306220).

Almost surely, 2^89436165120 is an apocalyptic number.

89436165120 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 89436165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159333894720).

89436165120 is an abundant number, since it is smaller than the sum of its proper divisors (229231624320).

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

89436165120 is a wasteful number, since it uses less digits than its factorization.

89436165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 89436165120 in words is "eighty-nine billion, four hundred thirty-six million, one hundred sixty-five thousand, one hundred twenty".