52005733034240 has 144 divisors (see below), whose sum is σ = 132367030573680. Its totient is φ = 19508951777280.

The previous prime is 52005733034239. The next prime is 52005733034243. The reversal of 52005733034240 is 4243033750025.

It can be written as a sum of positive squares in 8 ways, for example, as 398635653376 + 51607097380864 = 631376^2 + 7183808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52005733034194 and 52005733034203.

It is not an unprimeable number, because it can be changed into a prime (52005733034243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861946 + ... + 10367174.

It is an arithmetic number, because the mean of its divisors is an integer number (919215490095).

Almost surely, 2^{52005733034240} 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 52005733034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66183515286840).

52005733034240 is an abundant number, since it is smaller than the sum of its proper divisors (80361297539440).

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

52005733034240 is a wasteful number, since it uses less digits than its factorization.

52005733034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505548 (or 8505534 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 38.

Adding to 52005733034240 its reverse (4243033750025), we get a palindrome (56248766784265).

The spelling of 52005733034240 in words is "fifty-two trillion, five billion, seven hundred thirty-three million, thirty-four thousand, two hundred forty".