258795825144 has 128 divisors (see below), whose sum is σ = 722193408000. Its totient is φ = 76899870720.

The previous prime is 258795825143. The next prime is 258795825149. The reversal of 258795825144 is 441528597852.

It is a super-2 number, since 2×258795825144² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258795825143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376782 + ... + 812130.

It is an arithmetic number, because the mean of its divisors is an integer number (5642136000).

Almost surely, 2^258795825144 is an apocalyptic number.

258795825144 is a gapful number since it is divisible by the number (24) 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 258795825144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361096704000).

258795825144 is an abundant number, since it is smaller than the sum of its proper divisors (463397582856).

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

258795825144 is a wasteful number, since it uses less digits than its factorization.

258795825144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435453 (or 435449 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 60.

The spelling of 258795825144 in words is "two hundred fifty-eight billion, seven hundred ninety-five million, eight hundred twenty-five thousand, one hundred forty-four".