258873208832 has 208 divisors, whose sum is σ = 642908313600. Its totient is φ = 101709250560.

The previous prime is 258873208831. The next prime is 258873208921. The reversal of 258873208832 is 238802378852.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (258873208831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16880144 + ... + 16895472.

Almost surely, 2^258873208832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258873208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321454156800).

258873208832 is an abundant number, since it is smaller than the sum of its proper divisors (384035104768).

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

258873208832 is a wasteful number, since it uses less digits than its factorization.

258873208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 258873208832 in words is "two hundred fifty-eight billion, eight hundred seventy-three million, two hundred eight thousand, eight hundred thirty-two".