52080336000 has 1728 divisors, whose sum is σ = 243067177080. Its totient is φ = 10644480000.

The previous prime is 52080335999. The next prime is 52080336017. The reversal of 52080336000 is 63308025.

52080336000 is a `hidden beast` number, since 5 + 20 + 8 + 0 + 33 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3719048256 + 48361287744 = 60984^2 + 219912^2 .

It is a super-2 number, since 2×52080336000² (a number of 22 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 853775970 + ... + 853776030.

Almost surely, 2^52080336000 is an apocalyptic number.

52080336000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52080336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121533588540).

52080336000 is an abundant number, since it is smaller than the sum of its proper divisors (190986841080).

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

52080336000 is a wasteful number, since it uses less digits than its factorization.

52080336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 52080336000 in words is "fifty-two billion, eighty million, three hundred thirty-six thousand".