258942884760 has 384 divisors, whose sum is σ = 984904427520. Its totient is φ = 57771242496.

The previous prime is 258942884747. The next prime is 258942884803. The reversal of 258942884760 is 67488249852.

258942884760 is a `hidden beast` number, since 2 + 5 + 89 + 4 + 2 + 88 + 476 + 0 = 666.

258942884760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 47017927 + ... + 47023433.

It is an arithmetic number, because the mean of its divisors is an integer number (2564855280).

Almost surely, 2^258942884760 is an apocalyptic number.

258942884760 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 258942884760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492452213760).

258942884760 is an abundant number, since it is smaller than the sum of its proper divisors (725961542760).

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

258942884760 is a wasteful number, since it uses less digits than its factorization.

258942884760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 258942884760 in words is "two hundred fifty-eight billion, nine hundred forty-two million, eight hundred eighty-four thousand, seven hundred sixty".