89281966720 has 256 divisors, whose sum is σ = 237707654400. Its totient is φ = 31911542784.

The previous prime is 89281966717. The next prime is 89281966721. The reversal of 89281966720 is 2766918298.

It is not an unprimeable number, because it can be changed into a prime (89281966721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20414454 + ... + 20418826.

It is an arithmetic number, because the mean of its divisors is an integer number (928545525).

Almost surely, 2^89281966720 is an apocalyptic number.

89281966720 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 89281966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118853827200).

89281966720 is an abundant number, since it is smaller than the sum of its proper divisors (148425687680).

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

89281966720 is a wasteful number, since it uses less digits than its factorization.

89281966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 89281966720 in words is "eighty-nine billion, two hundred eighty-one million, nine hundred sixty-six thousand, seven hundred twenty".