258941878272 has 960 divisors, whose sum is σ = 987156850680. Its totient is φ = 66886041600.

The previous prime is 258941878231. The next prime is 258941878289. The reversal of 258941878272 is 272878149852.

258941878272 is a `hidden beast` number, since 2 + 5 + 89 + 418 + 78 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1430618022 + ... + 1430618202.

Almost surely, 2^258941878272 is an apocalyptic number.

258941878272 is a gapful number since it is divisible by the number (22) 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 258941878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493578425340).

258941878272 is an abundant number, since it is smaller than the sum of its proper divisors (728214972408).

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

258941878272 is an equidigital number, since it uses as much as digits as its factorization.

258941878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 204 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 258941878272 in words is "two hundred fifty-eight billion, nine hundred forty-one million, eight hundred seventy-eight thousand, two hundred seventy-two".