52544300400 has 720 divisors, whose sum is σ = 207386413920. Its totient is φ = 12590899200.

The previous prime is 52544300387. The next prime is 52544300453. The reversal of 52544300400 is 400344525.

52544300400 is a `hidden beast` number, since 5 + 254 + 4 + 3 + 0 + 0 + 400 = 666.

52544300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97124130 + ... + 97124670.

It is an arithmetic number, because the mean of its divisors is an integer number (288036686).

Almost surely, 2^52544300400 is an apocalyptic number.

52544300400 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 52544300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103693206960).

52544300400 is an abundant number, since it is smaller than the sum of its proper divisors (154842113520).

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

52544300400 is a wasteful number, since it uses less digits than its factorization.

52544300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 52544300400 its reverse (400344525), we get a palindrome (52944644925).

The spelling of 52544300400 in words is "fifty-two billion, five hundred forty-four million, three hundred thousand, four hundred".