52984568160 has 288 divisors, whose sum is σ = 183210273792. Its totient is φ = 13942748160.

The previous prime is 52984568129. The next prime is 52984568179. The reversal of 52984568160 is 6186548925.

52984568160 is a `hidden beast` number, since 5 + 29 + 8 + 456 + 8 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52984568097 and 52984568106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53465265 + ... + 53466255.

It is an arithmetic number, because the mean of its divisors is an integer number (636146784).

Almost surely, 2^52984568160 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 52984568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91605136896).

52984568160 is an abundant number, since it is smaller than the sum of its proper divisors (130225705632).

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

52984568160 is a wasteful number, since it uses less digits than its factorization.

52984568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 52984568160 in words is "fifty-two billion, nine hundred eighty-four million, five hundred sixty-eight thousand, one hundred sixty".