258881683027968 has 1728 divisors, whose sum is σ = 1030065053472000. Its totient is φ = 62066716508160.

The previous prime is 258881683027967. The next prime is 258881683027973. The reversal of 258881683027968 is 869720386188852.

It is a happy number.

258881683027968 is a `hidden beast` number, since 2 + 5 + 8 + 88 + 168 + 302 + 79 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258881683027967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11752914171 + ... + 11752936197.

It is an arithmetic number, because the mean of its divisors is an integer number (596102461500).

Almost surely, 2^{258881683027968} is an apocalyptic number.

258881683027968 is a gapful number since it is divisible by the number (28) 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 258881683027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515032526736000).

258881683027968 is an abundant number, since it is smaller than the sum of its proper divisors (771183370444032).

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

258881683027968 is a wasteful number, since it uses less digits than its factorization.

258881683027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22113 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 258881683027968 in words is "two hundred fifty-eight trillion, eight hundred eighty-one billion, six hundred eighty-three million, twenty-seven thousand, nine hundred sixty-eight".