259492584960 has 720 divisors, whose sum is σ = 1084268321136. Its totient is φ = 59305623552.

The previous prime is 259492584947. The next prime is 259492584979. The reversal of 259492584960 is 69485294952.

259492584960 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 92 + 58 + 496 + 0 = 666.

259492584960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 30477664 + ... + 30486176.

Almost surely, 2^259492584960 is an apocalyptic number.

259492584960 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 259492584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542134160568).

259492584960 is an abundant number, since it is smaller than the sum of its proper divisors (824775736176).

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

259492584960 is an frugal number, since it uses more digits than its factorization.

259492584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 259492584960 in words is "two hundred fifty-nine billion, four hundred ninety-two million, five hundred eighty-four thousand, nine hundred sixty".