89212730418 has 192 divisors, whose sum is σ = 233122406400. Its totient is φ = 24106896000.

The previous prime is 89212730417. The next prime is 89212730419. The reversal of 89212730418 is 81403721298.

It is a happy number.

89212730418 is a `hidden beast` number, since 89 + 2 + 127 + 30 + 418 = 666.

It is an interprime number because it is at equal distance from previous prime (89212730417) and next prime (89212730419).

It is a super-2 number, since 2×89212730418² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89212730417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118791543 + ... + 118792293.

It is an arithmetic number, because the mean of its divisors is an integer number (1214179200).

Almost surely, 2^89212730418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89212730418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116561203200).

89212730418 is an abundant number, since it is smaller than the sum of its proper divisors (143909675982).

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

89212730418 is a wasteful number, since it uses less digits than its factorization.

89212730418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 89212730418 in words is "eighty-nine billion, two hundred twelve million, seven hundred thirty thousand, four hundred eighteen".