258540963840 has 288 divisors, whose sum is σ = 902641161240. Its totient is φ = 68437671936.

The previous prime is 258540963839. The next prime is 258540963851. The reversal of 258540963840 is 48369045852.

258540963840 is a `hidden beast` number, since 2 + 5 + 8 + 540 + 96 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 240554935296 + 17986028544 = 490464^2 + 134112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12615682 + ... + 12636158.

Almost surely, 2^258540963840 is an apocalyptic number.

258540963840 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 258540963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451320580620).

258540963840 is an abundant number, since it is smaller than the sum of its proper divisors (644100197400).

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

258540963840 is a wasteful number, since it uses less digits than its factorization.

258540963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20624 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 258540963840 in words is "two hundred fifty-eight billion, five hundred forty million, nine hundred sixty-three thousand, eight hundred forty".