258305367720 has 256 divisors, whose sum is σ = 811548460800. Its totient is φ = 65712496640.

The previous prime is 258305367709. The next prime is 258305367737. The reversal of 258305367720 is 27763503852.

It is a self number, because there is not a number n which added to its sum of digits gives 258305367720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57182902 + ... + 57187418.

It is an arithmetic number, because the mean of its divisors is an integer number (3170111175).

Almost surely, 2^258305367720 is an apocalyptic number.

258305367720 is a gapful number since it is divisible by the number (20) 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 258305367720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405774230400).

258305367720 is an abundant number, since it is smaller than the sum of its proper divisors (553243093080).

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

258305367720 is a wasteful number, since it uses less digits than its factorization.

258305367720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 258305367720 in words is "two hundred fifty-eight billion, three hundred five million, three hundred sixty-seven thousand, seven hundred twenty".