258540055614 has 144 divisors (see below), whose sum is σ = 592669509120. Its totient is φ = 81362080800.

The previous prime is 258540055597. The next prime is 258540055661. The reversal of 258540055614 is 416550045852.

258540055614 is a `hidden beast` number, since 2 + 5 + 85 + 4 + 0 + 0 + 5 + 561 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258540055614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300977517 + ... + 300978375.

It is an arithmetic number, because the mean of its divisors is an integer number (4115760480).

Almost surely, 2^258540055614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258540055614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296334754560).

258540055614 is an abundant number, since it is smaller than the sum of its proper divisors (334129453506).

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

258540055614 is a wasteful number, since it uses less digits than its factorization.

258540055614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 258540055614 in words is "two hundred fifty-eight billion, five hundred forty million, fifty-five thousand, six hundred fourteen".