89814488590128 has 320 divisors, whose sum is σ = 252954044190720. Its totient is φ = 27345527341056.

The previous prime is 89814488590117. The next prime is 89814488590139. The reversal of 89814488590128 is 82109588441898.

It is an interprime number because it is at equal distance from previous prime (89814488590117) and next prime (89814488590139).

It is a super-3 number, since 3×89814488590128³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89814488590128.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36524800963 + ... + 36524803421.

It is an arithmetic number, because the mean of its divisors is an integer number (790481388096).

Almost surely, 2^{89814488590128} 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 89814488590128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126477022095360).

89814488590128 is an abundant number, since it is smaller than the sum of its proper divisors (163139555600592).

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

89814488590128 is a wasteful number, since it uses less digits than its factorization.

89814488590128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 75.

The spelling of 89814488590128 in words is "eighty-nine trillion, eight hundred fourteen billion, four hundred eighty-eight million, five hundred ninety thousand, one hundred twenty-eight".