258942019813728 has 96 divisors (see below), whose sum is σ = 702638982097920. Its totient is φ = 83411869754880.

The previous prime is 258942019813721. The next prime is 258942019813733. The reversal of 258942019813728 is 827318910249852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258942019813721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59251150 + ... + 63471117.

It is an arithmetic number, because the mean of its divisors is an integer number (7319156063520).

Almost surely, 2^{258942019813728} is an apocalyptic number.

It is an amenable number.

258942019813728 is an abundant number, since it is smaller than the sum of its proper divisors (443696962284192).

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

258942019813728 is a wasteful number, since it uses less digits than its factorization.

258942019813728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122723020 (or 122723012 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 258942019813728 in words is "two hundred fifty-eight trillion, nine hundred forty-two billion, nineteen million, eight hundred thirteen thousand, seven hundred twenty-eight".