85865508221184 has 288 divisors, whose sum is σ = 255015702816000. Its totient is φ = 28498409127936.

The previous prime is 85865508221183. The next prime is 85865508221209. The reversal of 85865508221184 is 48112280556858.

85865508221184 is a `hidden beast` number, since 8 + 5 + 8 + 6 + 5 + 508 + 2 + 2 + 118 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (85865508221183) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2850860077 + ... + 2850890195.

Almost surely, 2^{85865508221184} 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 85865508221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127507851408000).

85865508221184 is an abundant number, since it is smaller than the sum of its proper divisors (169150194594816).

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

85865508221184 is a wasteful number, since it uses less digits than its factorization.

85865508221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910 (or 31890 counting only the distinct ones).

The product of its (nonzero) digits is 49152000, while the sum is 63.

The spelling of 85865508221184 in words is "eighty-five trillion, eight hundred sixty-five billion, five hundred eight million, two hundred twenty-one thousand, one hundred eighty-four".