258442584288 has 48 divisors (see below), whose sum is σ = 775327754880. Its totient is φ = 73840738176.

The previous prime is 258442584287. The next prime is 258442584313. The reversal of 258442584288 is 882485244852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258442584287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192292918 + ... + 192294261.

It is an arithmetic number, because the mean of its divisors is an integer number (16152661560).

Almost surely, 2^258442584288 is an apocalyptic number.

258442584288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258442584288 is an abundant number, since it is smaller than the sum of its proper divisors (516885170592).

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

258442584288 is a wasteful number, since it uses less digits than its factorization.

258442584288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384587199 (or 384587191 counting only the distinct ones).

The product of its digits is 52428800, while the sum is 60.

The spelling of 258442584288 in words is "two hundred fifty-eight billion, four hundred forty-two million, five hundred eighty-four thousand, two hundred eighty-eight".