5257270800 has 360 divisors, whose sum is σ = 19397631240. Its totient is φ = 1316044800.

The previous prime is 5257270751. The next prime is 5257270819. The reversal of 5257270800 is 80727525.

5257270800 is a `hidden beast` number, since 5 + 2 + 572 + 7 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1100116224 + 4157154576 = 33168^2 + 64476^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3862120 + ... + 3863480.

It is an arithmetic number, because the mean of its divisors is an integer number (53882309).

Almost surely, 2^5257270800 is an apocalyptic number.

5257270800 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 5257270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698815620).

5257270800 is an abundant number, since it is smaller than the sum of its proper divisors (14140360440).

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

5257270800 is a wasteful number, since it uses less digits than its factorization.

5257270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5257270800 is about 72507.0396582290. The cubic root of 5257270800 is about 1738.8152855001.

The spelling of 5257270800 in words is "five billion, two hundred fifty-seven million, two hundred seventy thousand, eight hundred".