258484984800 has 576 divisors, whose sum is σ = 1006009611264. Its totient is φ = 56365056000.

The previous prime is 258484984799. The next prime is 258484984837. The reversal of 258484984800 is 8489484852.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215224200 + ... + 215225400.

It is an arithmetic number, because the mean of its divisors is an integer number (1746544464).

Almost surely, 2^258484984800 is an apocalyptic number.

258484984800 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 258484984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503004805632).

258484984800 is an abundant number, since it is smaller than the sum of its proper divisors (747524626464).

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

258484984800 is a wasteful number, since it uses less digits than its factorization.

258484984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 258484984800 in words is "two hundred fifty-eight billion, four hundred eighty-four million, nine hundred eighty-four thousand, eight hundred".