89018238204960 has 384 divisors, whose sum is σ = 297786748896000. Its totient is φ = 22289637703680.

The previous prime is 89018238204953. The next prime is 89018238204967. The reversal of 89018238204960 is 6940283281098.

It is an interprime number because it is at equal distance from previous prime (89018238204953) and next prime (89018238204967).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 89018238204894 and 89018238204903.

It is not an unprimeable number, because it can be changed into a prime (89018238204967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800835466 + ... + 800946614.

It is an arithmetic number, because the mean of its divisors is an integer number (775486325250).

Almost surely, 2^{89018238204960} is an apocalyptic number.

89018238204960 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 89018238204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148893374448000).

89018238204960 is an abundant number, since it is smaller than the sum of its proper divisors (208768510691040).

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

89018238204960 is a wasteful number, since it uses less digits than its factorization.

89018238204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111964 (or 111956 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 89018238204960 in words is "eighty-nine trillion, eighteen billion, two hundred thirty-eight million, two hundred four thousand, nine hundred sixty".