85009536864 has 288 divisors, whose sum is σ = 294851321856. Its totient is φ = 22678548480.

The previous prime is 85009536797. The next prime is 85009536893. The reversal of 85009536864 is 46863590058.

It is a happy number.

85009536864 is a `hidden beast` number, since 8 + 500 + 9 + 53 + 6 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85009536864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4342779 + ... + 4362309.

It is an arithmetic number, because the mean of its divisors is an integer number (1023789312).

Almost surely, 2^85009536864 is an apocalyptic number.

85009536864 is a gapful number since it is divisible by the number (84) 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 85009536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147425660928).

85009536864 is an abundant number, since it is smaller than the sum of its proper divisors (209841784992).

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

85009536864 is a wasteful number, since it uses less digits than its factorization.

85009536864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19698 (or 19687 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85009536864 in words is "eighty-five billion, nine million, five hundred thirty-six thousand, eight hundred sixty-four".