85895086464 has 192 divisors, whose sum is σ = 270285050880. Its totient is φ = 25966771200.

The previous prime is 85895086447. The next prime is 85895086483. The reversal of 85895086464 is 46468059858.

85895086464 is a `hidden beast` number, since 8 + 5 + 8 + 9 + 508 + 64 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5453769 + ... + 5469495.

It is an arithmetic number, because the mean of its divisors is an integer number (1407734640).

Almost surely, 2^85895086464 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 85895086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135142525440).

85895086464 is an abundant number, since it is smaller than the sum of its proper divisors (184389964416).

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

85895086464 is a wasteful number, since it uses less digits than its factorization.

85895086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16189 (or 16174 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 85895086464 in words is "eighty-five billion, eight hundred ninety-five million, eighty-six thousand, four hundred sixty-four".