52585168896 has 432 divisors, whose sum is σ = 170992733184. Its totient is φ = 16052649984.

The previous prime is 52585168879. The next prime is 52585168903. The reversal of 52585168896 is 69886158525.

52585168896 is a `hidden beast` number, since 5 + 25 + 8 + 516 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 414056385 + ... + 414056511.

It is an arithmetic number, because the mean of its divisors is an integer number (395816512).

Almost surely, 2^52585168896 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 52585168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85496366592).

52585168896 is an abundant number, since it is smaller than the sum of its proper divisors (118407564288).

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

52585168896 is an frugal number, since it uses more digits than its factorization.

52585168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 145 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 63.

The spelling of 52585168896 in words is "fifty-two billion, five hundred eighty-five million, one hundred sixty-eight thousand, eight hundred ninety-six".