258056844480 has 168 divisors, whose sum is σ = 896759590272. Its totient is φ = 68105650176.

The previous prime is 258056844427. The next prime is 258056844497. The reversal of 258056844480 is 84448650852.

258056844480 is a `hidden beast` number, since 2 + 5 + 80 + 5 + 6 + 84 + 4 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182512 + ... + 741231.

It is an arithmetic number, because the mean of its divisors is an integer number (5337854704).

Almost surely, 2^258056844480 is an apocalyptic number.

258056844480 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 258056844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448379795136).

258056844480 is an abundant number, since it is smaller than the sum of its proper divisors (638702745792).

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

258056844480 is a wasteful number, since it uses less digits than its factorization.

258056844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923863 (or 923850 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 258056844480 in words is "two hundred fifty-eight billion, fifty-six million, eight hundred forty-four thousand, four hundred eighty".