52015244400 has 540 divisors, whose sum is σ = 211493997000. Its totient is φ = 11803438080.

The previous prime is 52015244399. The next prime is 52015244447. The reversal of 52015244400 is 444251025.

52015244400 is a `hidden beast` number, since 5 + 2 + 0 + 15 + 244 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26282611 + ... + 26284589.

It is an arithmetic number, because the mean of its divisors is an integer number (391655550).

Almost surely, 2^52015244400 is an apocalyptic number.

52015244400 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 52015244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105746998500).

52015244400 is an abundant number, since it is smaller than the sum of its proper divisors (159478752600).

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

52015244400 is a wasteful number, since it uses less digits than its factorization.

52015244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 52015244400 its reverse (444251025), we get a palindrome (52459495425).

The spelling of 52015244400 in words is "fifty-two billion, fifteen million, two hundred forty-four thousand, four hundred".