89008066560 has 416 divisors, whose sum is σ = 326958508800. Its totient is φ = 20252196864.

The previous prime is 89008066549. The next prime is 89008066601. The reversal of 89008066560 is 6566080098.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 150097624 + ... + 150098216.

Almost surely, 2^89008066560 is an apocalyptic number.

89008066560 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 89008066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163479254400).

89008066560 is an abundant number, since it is smaller than the sum of its proper divisors (237950442240).

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

89008066560 is a wasteful number, since it uses less digits than its factorization.

89008066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 89008066560 in words is "eighty-nine billion, eight million, sixty-six thousand, five hundred sixty".