85536912384 has 880 divisors, whose sum is σ = 325282383360. Its totient is φ = 21744599040.

The previous prime is 85536912359. The next prime is 85536912389. The reversal of 85536912384 is 48321963558.

85536912384 is a `hidden beast` number, since 8 + 5 + 536 + 9 + 1 + 23 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85536912384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85536912389) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 376814479 + ... + 376814705.

It is an arithmetic number, because the mean of its divisors is an integer number (369639072).

Almost surely, 2^85536912384 is an apocalyptic number.

85536912384 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 85536912384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162641191680).

85536912384 is an abundant number, since it is smaller than the sum of its proper divisors (239745470976).

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

85536912384 is a wasteful number, since it uses less digits than its factorization.

85536912384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

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

The spelling of 85536912384 in words is "eighty-five billion, five hundred thirty-six million, nine hundred twelve thousand, three hundred eighty-four".