89116536545280 has 2240 divisors, whose sum is σ = 341836368749568. Its totient is φ = 22178703605760.

The previous prime is 89116536545207. The next prime is 89116536545339. The reversal of 89116536545280 is 8254563561198.

89116536545280 is a `hidden beast` number, since 8 + 9 + 1 + 1 + 6 + 5 + 3 + 6 + 545 + 2 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 338846146429 + ... + 338846146691.

Almost surely, 2^{89116536545280} is an apocalyptic number.

89116536545280 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 89116536545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170918184374784).

89116536545280 is an abundant number, since it is smaller than the sum of its proper divisors (252719832204288).

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

89116536545280 is a wasteful number, since it uses less digits than its factorization.

89116536545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 89116536545280 in words is "eighty-nine trillion, one hundred sixteen billion, five hundred thirty-six million, five hundred forty-five thousand, two hundred eighty".