5256424800 has 288 divisors, whose sum is σ = 20739922560. Its totient is φ = 1274227200.

The previous prime is 5256424781. The next prime is 5256424861. The reversal of 5256424800 is 84246525.

It is a happy number.

5256424800 is a `hidden beast` number, since 5 + 2 + 5 + 642 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226539 + ... + 248661.

It is an arithmetic number, because the mean of its divisors is an integer number (72013620).

Almost surely, 2^5256424800 is an apocalyptic number.

5256424800 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 5256424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369961280).

5256424800 is an abundant number, since it is smaller than the sum of its proper divisors (15483497760).

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

5256424800 is a wasteful number, since it uses less digits than its factorization.

5256424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22163 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5256424800 is about 72501.2055072190. The cubic root of 5256424800 is about 1738.7220104466.

The spelling of 5256424800 in words is "five billion, two hundred fifty-six million, four hundred twenty-four thousand, eight hundred".