52006835200 has 264 divisors, whose sum is σ = 138451497912. Its totient is φ = 19299041280.

The previous prime is 52006835171. The next prime is 52006835213. The reversal of 52006835200 is 253860025.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19456902144 + 32549933056 = 139488^2 + 180416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31768782 + ... + 31770418.

Almost surely, 2^52006835200 is an apocalyptic number.

52006835200 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 52006835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69225748956).

52006835200 is an abundant number, since it is smaller than the sum of its proper divisors (86444662712).

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

52006835200 is a wasteful number, since it uses less digits than its factorization.

52006835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 52006835200 in words is "fifty-two billion, six million, eight hundred thirty-five thousand, two hundred".