258496699968 has 420 divisors, whose sum is σ = 845944266960. Its totient is φ = 75260150784.

The previous prime is 258496699939. The next prime is 258496700003. The reversal of 258496699968 is 869996694852.

258496699968 is a `hidden beast` number, since 2 + 5 + 8 + 496 + 69 + 9 + 9 + 68 = 666.

258496699968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258496699968² (a number of 24 digits) contains 22 as substring.

Its product of digits (3627970560) is a multiple of the sum of its prime divisors (864).

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 59 ways as a sum of consecutive naturals, for example, 312571171 + ... + 312571997.

Almost surely, 2^258496699968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258496699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422972133480).

258496699968 is an abundant number, since it is smaller than the sum of its proper divisors (587447566992).

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

258496699968 is an equidigital number, since it uses as much as digits as its factorization.

258496699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 864 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 81.

The spelling of 258496699968 in words is "two hundred fifty-eight billion, four hundred ninety-six million, six hundred ninety-nine thousand, nine hundred sixty-eight".