89517212380120 has 256 divisors, whose sum is σ = 234700028236800. Its totient is φ = 30093202114560.

The previous prime is 89517212380111. The next prime is 89517212380201. The reversal of 89517212380120 is 2108321271598.

89517212380120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 9526143262 + ... + 9526152658.

It is an arithmetic number, because the mean of its divisors is an integer number (916796985300).

Almost surely, 2^{89517212380120} 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 89517212380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117350014118400).

89517212380120 is an abundant number, since it is smaller than the sum of its proper divisors (145182815856680).

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

89517212380120 is a wasteful number, since it uses less digits than its factorization.

89517212380120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11174 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 89517212380120 in words is "eighty-nine trillion, five hundred seventeen billion, two hundred twelve million, three hundred eighty thousand, one hundred twenty".