89360225136 has 960 divisors, whose sum is σ = 344036313600. Its totient is φ = 22221319680.

The previous prime is 89360224999. The next prime is 89360225159. The reversal of 89360225136 is 63152206398.

89360225136 is a `hidden beast` number, since 8 + 9 + 3 + 602 + 2 + 5 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89360225091 and 89360225100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 423508071 + ... + 423508281.

It is an arithmetic number, because the mean of its divisors is an integer number (358371160).

Almost surely, 2^89360225136 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 89360225136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172018156800).

89360225136 is an abundant number, since it is smaller than the sum of its proper divisors (254676088464).

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

89360225136 is a wasteful number, since it uses less digits than its factorization.

89360225136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 89360225136 in words is "eighty-nine billion, three hundred sixty million, two hundred twenty-five thousand, one hundred thirty-six".