5255078400 has 1080 divisors, whose sum is σ = 23029346340. Its totient is φ = 1135411200.

The previous prime is 5255078359. The next prime is 5255078401. The reversal of 5255078400 is 48705525.

It is a happy number.

5255078400 is a `hidden beast` number, since 525 + 50 + 7 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1037355264 + 4217723136 = 32208^2 + 64944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5255078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 181209586 + ... + 181209614.

Almost surely, 2^5255078400 is an apocalyptic number.

5255078400 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 5255078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514673170).

5255078400 is an abundant number, since it is smaller than the sum of its proper divisors (17774267940).

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

5255078400 is a wasteful number, since it uses less digits than its factorization.

5255078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5255078400 is about 72491.9195496988. The cubic root of 5255078400 is about 1738.5735435506.

The spelling of 5255078400 in words is "five billion, two hundred fifty-five million, seventy-eight thousand, four hundred".