259490079098640 has 800 divisors, whose sum is σ = 1028757376563840. Its totient is φ = 60053363048448.

The previous prime is 259490079098617. The next prime is 259490079098651. The reversal of 259490079098640 is 46890970094952.

259490079098640 is a `hidden beast` number, since 2 + 5 + 9 + 490 + 0 + 7 + 9 + 0 + 98 + 6 + 40 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1356084091 + ... + 1356275429.

Almost surely, 2^{259490079098640} is an apocalyptic number.

259490079098640 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 259490079098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514378688281920).

259490079098640 is an abundant number, since it is smaller than the sum of its proper divisors (769267297465200).

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

259490079098640 is a wasteful number, since it uses less digits than its factorization.

259490079098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192341 (or 192326 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 259490079098640 in words is "two hundred fifty-nine trillion, four hundred ninety billion, seventy-nine million, ninety-eight thousand, six hundred forty".