258484968000 has 672 divisors, whose sum is σ = 1112394666240. Its totient is φ = 55970611200.

The previous prime is 258484967977. The next prime is 258484968041. The reversal of 258484968000 is 869484852.

258484968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×258484968000² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 9562504 + ... + 9589496.

Almost surely, 2^258484968000 is an apocalyptic number.

258484968000 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 258484968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556197333120).

258484968000 is an abundant number, since it is smaller than the sum of its proper divisors (853909698240).

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

258484968000 is a wasteful number, since it uses less digits than its factorization.

258484968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27052 (or 27029 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 258484968000 in words is "two hundred fifty-eight billion, four hundred eighty-four million, nine hundred sixty-eight thousand".