89160582816 has 120 divisors (see below), whose sum is σ = 264221473824. Its totient is φ = 29493210240.

The previous prime is 89160582809. The next prime is 89160582859. The reversal of 89160582816 is 61828506198.

It is a happy number.

89160582816 is a `hidden beast` number, since 8 + 9 + 1 + 605 + 8 + 28 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 208261 + ... + 470843.

Almost surely, 2^89160582816 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 89160582816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132110736912).

89160582816 is an abundant number, since it is smaller than the sum of its proper divisors (175060891008).

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

89160582816 is a wasteful number, since it uses less digits than its factorization.

89160582816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262736 (or 262719 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 89160582816 in words is "eighty-nine billion, one hundred sixty million, five hundred eighty-two thousand, eight hundred sixteen".