89396009588160 has 1568 divisors, whose sum is σ = 358451987330304. Its totient is φ = 21037750272000.

The previous prime is 89396009588159. The next prime is 89396009588227. The reversal of 89396009588160 is 6188590069398.

89396009588160 is a `hidden beast` number, since 8 + 9 + 3 + 9 + 600 + 9 + 5 + 8 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22199156067 + ... + 22199160093.

Almost surely, 2^{89396009588160} is an apocalyptic number.

89396009588160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89396009588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179225993665152).

89396009588160 is an abundant number, since it is smaller than the sum of its proper divisors (269055977742144).

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

89396009588160 is a wasteful number, since it uses less digits than its factorization.

89396009588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 89396009588160 in words is "eighty-nine trillion, three hundred ninety-six billion, nine million, five hundred eighty-eight thousand, one hundred sixty".