89665085160 has 384 divisors, whose sum is σ = 354721086720. Its totient is φ = 19940401152.

The previous prime is 89665085129. The next prime is 89665085203. The reversal of 89665085160 is 6158056698.

It is a happy number.

89665085160 is a `hidden beast` number, since 89 + 6 + 6 + 508 + 51 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89665085097 and 89665085106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2499672 + ... + 2535288.

It is an arithmetic number, because the mean of its divisors is an integer number (923752830).

Almost surely, 2^89665085160 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 89665085160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177360543360).

89665085160 is an abundant number, since it is smaller than the sum of its proper divisors (265056001560).

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

89665085160 is a wasteful number, since it uses less digits than its factorization.

89665085160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35687 (or 35671 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 89665085160 in words is "eighty-nine billion, six hundred sixty-five million, eighty-five thousand, one hundred sixty".