257543452800 has 672 divisors, whose sum is σ = 963309276180. Its totient is φ = 68000808960.

The previous prime is 257543452769. The next prime is 257543452813. The reversal of 257543452800 is 8254345752.

257543452800 is a `hidden beast` number, since 2 + 57 + 543 + 4 + 52 + 8 + 0 + 0 = 666.

257543452800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 77760668736 + 179782784064 = 278856^2 + 424008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 263605912 + ... + 263606888.

Almost surely, 2^257543452800 is an apocalyptic number.

257543452800 is a gapful number since it is divisible by the number (20) 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 257543452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481654638090).

257543452800 is an abundant number, since it is smaller than the sum of its proper divisors (705765823380).

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

257543452800 is an equidigital number, since it uses as much as digits as its factorization.

257543452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 257543452800 in words is "two hundred fifty-seven billion, five hundred forty-three million, four hundred fifty-two thousand, eight hundred".