258543345852 has 192 divisors, whose sum is σ = 776897049600. Its totient is φ = 73600047360.

The previous prime is 258543345817. The next prime is 258543345857.

258543345852 is a `hidden beast` number, since 2 + 5 + 8 + 54 + 3 + 3 + 4 + 585 + 2 = 666.

258543345852 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258543345857) by changing a digit.

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, 1173313 + ... + 1376135.

It is an arithmetic number, because the mean of its divisors is an integer number (4046338800).

Almost surely, 2^258543345852 is an apocalyptic number.

258543345852 is a gapful number since it is divisible by the number (22) 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 258543345852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388448524800).

258543345852 is an abundant number, since it is smaller than the sum of its proper divisors (518353703748).

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

258543345852 is a wasteful number, since it uses less digits than its factorization.

258543345852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202913 (or 202905 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 258543345852 in words is "two hundred fifty-eight billion, five hundred forty-three million, three hundred forty-five thousand, eight hundred fifty-two".