258116839317940 has 24 divisors (see below), whose sum is σ = 542149823252520. Its totient is φ = 103226838453888.

The previous prime is 258116839317871. The next prime is 258116839317979. The reversal of 258116839317940 is 49713938611852.

It can be written as a sum of positive squares in 4 ways, for example, as 85161410150436 + 172955429167504 = 9228294^2 + 13151252^2 .

It is a super-3 number, since 3×258116839317940³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243473207 + ... + 1243680766.

It is an arithmetic number, because the mean of its divisors is an integer number (22589575968855).

It is a 1-persistent number, because it is pandigital, but 2⋅258116839317940 = 516233678635880 is not.

Almost surely, 2^{258116839317940} is an apocalyptic number.

258116839317940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258116839317940 is an abundant number, since it is smaller than the sum of its proper divisors (284032983934580).

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

258116839317940 is a wasteful number, since it uses less digits than its factorization.

258116839317940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487159171 (or 2487159169 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 258116839317940 in words is "two hundred fifty-eight trillion, one hundred sixteen billion, eight hundred thirty-nine million, three hundred seventeen thousand, nine hundred forty".