259569870400 has 189 divisors, whose sum is σ = 654999638817. Its totient is φ = 101243865600.

The previous prime is 259569870361. The next prime is 259569870401. The reversal of 259569870400 is 4078965952.

The square root of 259569870400 is 509480.

It is a perfect power (a square), and thus also a powerful number.

259569870400 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 only one way, i.e., 93445153344 + 166124717056 = 305688^2 + 407584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259569870401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 957822265 + ... + 957822535.

Almost surely, 2^259569870400 is an apocalyptic number.

259569870400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

259569870400 is the 509480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259569870400

259569870400 is an abundant number, since it is smaller than the sum of its proper divisors (395429768417).

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

259569870400 is an frugal number, since it uses more digits than its factorization.

259569870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

It can be divided in two parts, 259569 and 870400, that added together give a square (1129969 = 1063²).

The spelling of 259569870400 in words is "two hundred fifty-nine billion, five hundred sixty-nine million, eight hundred seventy thousand, four hundred".