89505283968 has 192 divisors, whose sum is σ = 278516646720. Its totient is φ = 27482357760.

The previous prime is 89505283963. The next prime is 89505284021. The reversal of 89505283968 is 86938250598.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×89505283968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89505283963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871828 + ... + 969068.

It is an arithmetic number, because the mean of its divisors is an integer number (1450607535).

Almost surely, 2^89505283968 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 89505283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139258323360).

89505283968 is an abundant number, since it is smaller than the sum of its proper divisors (189011362752).

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

89505283968 is a wasteful number, since it uses less digits than its factorization.

89505283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97325 (or 97310 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 89505283968 in words is "eighty-nine billion, five hundred five million, two hundred eighty-three thousand, nine hundred sixty-eight".