259947023394240 has 1680 divisors, whose sum is σ = 1173055951267200. Its totient is φ = 54151440924672.

The previous prime is 259947023394229. The next prime is 259947023394257. The reversal of 259947023394240 is 42493320749952.

259947023394240 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 4 + 70 + 233 + 94 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1304272516 + ... + 1304471804.

It is an arithmetic number, because the mean of its divisors is an integer number (698247590040).

Almost surely, 2^{259947023394240} is an apocalyptic number.

259947023394240 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 259947023394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586527975633600).

259947023394240 is an abundant number, since it is smaller than the sum of its proper divisors (913108927872960).

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

259947023394240 is a wasteful number, since it uses less digits than its factorization.

259947023394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199424 (or 199398 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 259947023394240 in words is "two hundred fifty-nine trillion, nine hundred forty-seven billion, twenty-three million, three hundred ninety-four thousand, two hundred forty".