259464340800 has 672 divisors, whose sum is σ = 1101427718400. Its totient is φ = 58183557120.

The previous prime is 259464340789. The next prime is 259464340819. The reversal of 259464340800 is 8043464952.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16019106 + ... + 16035294.

Almost surely, 2^259464340800 is an apocalyptic number.

259464340800 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 259464340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550713859200).

259464340800 is an abundant number, since it is smaller than the sum of its proper divisors (841963377600).

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

259464340800 is a wasteful number, since it uses less digits than its factorization.

259464340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16280 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 259464340800 in words is "two hundred fifty-nine billion, four hundred sixty-four million, three hundred forty thousand, eight hundred".