259947092845440 has 1536 divisors, whose sum is σ = 1214702506967040. Its totient is φ = 49467244216320.

The previous prime is 259947092845399. The next prime is 259947092845523. The reversal of 259947092845440 is 44548290749952.

It is a happy number.

259947092845440 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 4 + 70 + 9 + 2 + 8 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 732074022 + ... + 732429018.

It is an arithmetic number, because the mean of its divisors is an integer number (790821944640).

Almost surely, 2^{259947092845440} is an apocalyptic number.

259947092845440 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 259947092845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607351253483520).

259947092845440 is an abundant number, since it is smaller than the sum of its proper divisors (954755414121600).

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

259947092845440 is a wasteful number, since it uses less digits than its factorization.

259947092845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355180 (or 355165 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 259947092845440 in words is "two hundred fifty-nine trillion, nine hundred forty-seven billion, ninety-two million, eight hundred forty-five thousand, four hundred forty".