258649591200 has 2304 divisors, whose sum is σ = 1225649553408. Its totient is φ = 45619200000.

The previous prime is 258649591159. The next prime is 258649591247. The reversal of 258649591200 is 2195946852.

258649591200 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 2×258649591200² (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 383 ways as a sum of consecutive naturals, for example, 1712911125 + ... + 1712911275.

It is an arithmetic number, because the mean of its divisors is an integer number (531965952).

Almost surely, 2^258649591200 is an apocalyptic number.

258649591200 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 258649591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612824776704).

258649591200 is an abundant number, since it is smaller than the sum of its proper divisors (966999962208).

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

258649591200 is a wasteful number, since it uses less digits than its factorization.

258649591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 258649591200 in words is "two hundred fifty-eight billion, six hundred forty-nine million, five hundred ninety-one thousand, two hundred".