85865512548576 has 96 divisors (see below), whose sum is σ = 227178459889920. Its totient is φ = 28395867401216.

The previous prime is 85865512548533. The next prime is 85865512548577. The reversal of 85865512548576 is 67584521556858.

85865512548576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 85865512548498 and 85865512548507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85865512548577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19966165 + ... + 23882603.

It is an arithmetic number, because the mean of its divisors is an integer number (2366442290520).

Almost surely, 2^{85865512548576} 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 85865512548576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113589229944960).

85865512548576 is an abundant number, since it is smaller than the sum of its proper divisors (141312947341344).

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

85865512548576 is a wasteful number, since it uses less digits than its factorization.

85865512548576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918256 (or 3918248 counting only the distinct ones).

The product of its digits is 3225600000, while the sum is 75.

The spelling of 85865512548576 in words is "eighty-five trillion, eight hundred sixty-five billion, five hundred twelve million, five hundred forty-eight thousand, five hundred seventy-six".