258768048028 has 192 divisors, whose sum is σ = 586762444800. Its totient is φ = 99337190400.

The previous prime is 258768047921. The next prime is 258768048037. The reversal of 258768048028 is 820840867852.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44102751 + ... + 44108617.

It is an arithmetic number, because the mean of its divisors is an integer number (3056054400).

Almost surely, 2^258768048028 is an apocalyptic number.

258768048028 is a gapful number since it is divisible by the number (28) 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 258768048028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293381222400).

258768048028 is an abundant number, since it is smaller than the sum of its proper divisors (327994396772).

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

258768048028 is a wasteful number, since it uses less digits than its factorization.

258768048028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 58.

The spelling of 258768048028 in words is "two hundred fifty-eight billion, seven hundred sixty-eight million, forty-eight thousand, twenty-eight".