258942163620 has 384 divisors, whose sum is σ = 900835246080. Its totient is φ = 54277724160.

The previous prime is 258942163559. The next prime is 258942163679. The reversal of 258942163620 is 26361249852.

It is a happy number.

258942163620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 258942163620.

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 127 ways as a sum of consecutive naturals, for example, 32637174 + ... + 32645106.

It is an arithmetic number, because the mean of its divisors is an integer number (2345925120).

Almost surely, 2^258942163620 is an apocalyptic number.

258942163620 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 258942163620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450417623040).

258942163620 is an abundant number, since it is smaller than the sum of its proper divisors (641893082460).

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

258942163620 is a wasteful number, since it uses less digits than its factorization.

258942163620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 258942163620 in words is "two hundred fifty-eight billion, nine hundred forty-two million, one hundred sixty-three thousand, six hundred twenty".