89866656000 has 864 divisors, whose sum is σ = 371578596480. Its totient is φ = 20625408000.

The previous prime is 89866655959. The next prime is 89866656073. The reversal of 89866656000 is 65666898.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60191254 + ... + 60192746.

It is an arithmetic number, because the mean of its divisors is an integer number (430067820).

Almost surely, 2^89866656000 is an apocalyptic number.

89866656000 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 89866656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185789298240).

89866656000 is an abundant number, since it is smaller than the sum of its proper divisors (281711940480).

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

89866656000 is a wasteful number, since it uses less digits than its factorization.

89866656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 89866656000 in words is "eighty-nine billion, eight hundred sixty-six million, six hundred fifty-six thousand".