52820672832 has 252 divisors, whose sum is σ = 162564275328. Its totient is φ = 16987449600.

The previous prime is 52820672803. The next prime is 52820672881. The reversal of 52820672832 is 23827602825.

It is a happy number.

52820672832 is a `hidden beast` number, since 528 + 20 + 6 + 72 + 8 + 32 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 35 ways as a sum of consecutive naturals, for example, 159578907 + ... + 159579237.

Almost surely, 2^52820672832 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 52820672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81282137664).

52820672832 is an abundant number, since it is smaller than the sum of its proper divisors (109743602496).

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

52820672832 is an frugal number, since it uses more digits than its factorization.

52820672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 52820672832 in words is "fifty-two billion, eight hundred twenty million, six hundred seventy-two thousand, eight hundred thirty-two".