5255240400 has 180 divisors, whose sum is σ = 19197243520. Its totient is φ = 1327622400.

The previous prime is 5255240339. The next prime is 5255240411. The reversal of 5255240400 is 40425525.

5255240400 is a `hidden beast` number, since 5 + 255 + 2 + 4 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29985 + ... + 106815.

Almost surely, 2^5255240400 is an apocalyptic number.

5255240400 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 5255240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598621760).

5255240400 is an abundant number, since it is smaller than the sum of its proper divisors (13942003120).

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

5255240400 is a wasteful number, since it uses less digits than its factorization.

5255240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76874 (or 76860 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5255240400 is about 72493.0369070023. The cubic root of 5255240400 is about 1738.5914085565.

Adding to 5255240400 its reverse (40425525), we get a palindrome (5295665925).

The spelling of 5255240400 in words is "five billion, two hundred fifty-five million, two hundred forty thousand, four hundred".