89339516928 has 144 divisors (see below), whose sum is σ = 264324551400. Its totient is φ = 29053255680.

The previous prime is 89339516909. The next prime is 89339517011. The reversal of 89339516928 is 82961593398.

89339516928 is a `hidden beast` number, since 8 + 93 + 3 + 9 + 516 + 9 + 28 = 666.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 696603 + ... + 814821.

Almost surely, 2^89339516928 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 89339516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132162275700).

89339516928 is an abundant number, since it is smaller than the sum of its proper divisors (174985034472).

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

89339516928 is a wasteful number, since it uses less digits than its factorization.

89339516928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118288 (or 118265 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 89339516928 in words is "eighty-nine billion, three hundred thirty-nine million, five hundred sixteen thousand, nine hundred twenty-eight".