52852943520 has 288 divisors, whose sum is σ = 195098576400. Its totient is φ = 12952092672.

The previous prime is 52852943489. The next prime is 52852943531. The reversal of 52852943520 is 2534925825.

52852943520 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 294 + 352 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8232295824 + 44620647696 = 90732^2 + 211236^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4280716 + ... + 4293044.

Almost surely, 2^52852943520 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 52852943520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97549288200).

52852943520 is an abundant number, since it is smaller than the sum of its proper divisors (142245632880).

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

52852943520 is a wasteful number, since it uses less digits than its factorization.

52852943520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 52852943520 in words is "fifty-two billion, eight hundred fifty-two million, nine hundred forty-three thousand, five hundred twenty".