89610680788608 has 256 divisors, whose sum is σ = 284120003174400. Its totient is φ = 24488854032384.

The previous prime is 89610680788589. The next prime is 89610680788627. The reversal of 89610680788608 is 80688708601698.

It is an interprime number because it is at equal distance from previous prime (89610680788589) and next prime (89610680788627).

It is a super-2 number, since 2×89610680788608² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89610680788608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767760 + ... + 13503567.

It is an arithmetic number, because the mean of its divisors is an integer number (1109843762400).

Almost surely, 2^{89610680788608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89610680788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142060001587200).

89610680788608 is an abundant number, since it is smaller than the sum of its proper divisors (194509322385792).

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

89610680788608 is a wasteful number, since it uses less digits than its factorization.

89610680788608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15271447 (or 15271435 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 75.

The spelling of 89610680788608 in words is "eighty-nine trillion, six hundred ten billion, six hundred eighty million, seven hundred eighty-eight thousand, six hundred eight".