258556689920 has 160 divisors (see below), whose sum is σ = 631579576320. Its totient is φ = 101492858880.

The previous prime is 258556689913. The next prime is 258556689953. The reversal of 258556689920 is 29986655852.

258556689920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40529291 + ... + 40535669.

It is an arithmetic number, because the mean of its divisors is an integer number (3947372352).

Almost surely, 2^258556689920 is an apocalyptic number.

258556689920 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 258556689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315789788160).

258556689920 is an abundant number, since it is smaller than the sum of its proper divisors (373022886400).

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

258556689920 is an equidigital number, since it uses as much as digits as its factorization.

258556689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 65.

The spelling of 258556689920 in words is "two hundred fifty-eight billion, five hundred fifty-six million, six hundred eighty-nine thousand, nine hundred twenty".