89580616224 has 48 divisors (see below), whose sum is σ = 256526313120. Its totient is φ = 27145640960.

The previous prime is 89580616199. The next prime is 89580616259. The reversal of 89580616224 is 42261608598.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42414009 + ... + 42416120.

It is an arithmetic number, because the mean of its divisors is an integer number (5344298190).

Almost surely, 2^89580616224 is an apocalyptic number.

It is an amenable number.

89580616224 is an abundant number, since it is smaller than the sum of its proper divisors (166945696896).

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

89580616224 is a wasteful number, since it uses less digits than its factorization.

89580616224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84830153 (or 84830145 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 89580616224 in words is "eighty-nine billion, five hundred eighty million, six hundred sixteen thousand, two hundred twenty-four".