259200000000000 has 1020 divisors, whose sum is σ = 967992610781196. Its totient is φ = 69120000000000.

The previous prime is 259199999999999. The next prime is 259200000000079. The reversal of 259200000000000 is 2952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 37053614260224 + 222146385739776 = 6087168^2 + 14904576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 259199999999892 and 259199999999901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51839999999998 + ... + 51840000000002.

Almost surely, 2^{259200000000000} is an apocalyptic number.

259200000000000 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 259200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483996305390598).

259200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (708792610781196).

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

259200000000000 is an frugal number, since it uses more digits than its factorization.

259200000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

259200000000000 divided by its product of nonzero digits (180) gives a square (1440000000000 = 1200000²).

Adding to 259200000000000 its reverse (2952), we get a palindrome (259200000002952).

The spelling of 259200000000000 in words is "two hundred fifty-nine trillion, two hundred billion", and thus it is an aban number.