52832863282752 has 1176 divisors, whose sum is σ = 186480746250360. Its totient is φ = 14797282590720.

The previous prime is 52832863282741. The next prime is 52832863282949. The reversal of 52832863282752 is 25728236823825.

It is a happy number.

52832863282752 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 286 + 3 + 282 + 75 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5649482474496 + 47183380808256 = 2376864^2 + 6869016^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×52832863282752² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 52832863282752.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 63730835874 + ... + 63730836702.

Almost surely, 2^{52832863282752} 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 52832863282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93240373125180).

52832863282752 is an abundant number, since it is smaller than the sum of its proper divisors (133647882967608).

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

52832863282752 is an equidigital number, since it uses as much as digits as its factorization.

52832863282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1359 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 52832863282752 in words is "fifty-two trillion, eight hundred thirty-two billion, eight hundred sixty-three million, two hundred eighty-two thousand, seven hundred fifty-two".