89084160000 has 1440 divisors, whose sum is σ = 379177999200. Its totient is φ = 19906560000.

The previous prime is 89084159999. The next prime is 89084160013. The reversal of 89084160000 is 6148098.

It is a happy number.

89084160000 is a `hidden beast` number, since 8 + 9 + 0 + 8 + 41 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2407679982 + ... + 2407680018.

It is an arithmetic number, because the mean of its divisors is an integer number (263318055).

Almost surely, 2^89084160000 is an apocalyptic number.

89084160000 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 89084160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189588999600).

89084160000 is an abundant number, since it is smaller than the sum of its proper divisors (290093839200).

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

89084160000 is a wasteful number, since it uses less digits than its factorization.

89084160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 89084160000 in words is "eighty-nine billion, eighty-four million, one hundred sixty thousand".