259274766104640 has 1344 divisors, whose sum is σ = 1083686823378432. Its totient is φ = 56054484172800.

The previous prime is 259274766104623. The next prime is 259274766104647. The reversal of 259274766104640 is 46401667472952.

259274766104640 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 7 + 4 + 7 + 6 + 610 + 4 + 6 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (259274766104647) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1739125782 + ... + 1739274858.

It is an arithmetic number, because the mean of its divisors is an integer number (806314600728).

Almost surely, 2^{259274766104640} is an apocalyptic number.

259274766104640 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 259274766104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541843411689216).

259274766104640 is an abundant number, since it is smaller than the sum of its proper divisors (824412057273792).

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

259274766104640 is a wasteful number, since it uses less digits than its factorization.

259274766104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149268 (or 149255 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 259274766104640 in words is "two hundred fifty-nine trillion, two hundred seventy-four billion, seven hundred sixty-six million, one hundred four thousand, six hundred forty".