258371223552 has 462 divisors, whose sum is σ = 838940291757. Its totient is φ = 79498838016.

The previous prime is 258371223353. The next prime is 258371223599. The reversal of 258371223552 is 255322173852.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

258371223552 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 71 + 2 + 23 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220915040256 + 37456183296 = 470016^2 + 193536^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=359424.

Its product of digits (1008000) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 258371223498 and 258371223507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 19874709498 + ... + 19874709510.

Almost surely, 2^258371223552 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 258371223552

258371223552 is an abundant number, since it is smaller than the sum of its proper divisors (580569068205).

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

258371223552 is an frugal number, since it uses more digits than its factorization.

258371223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 18 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 258371223552 in words is "two hundred fifty-eight billion, three hundred seventy-one million, two hundred twenty-three thousand, five hundred fifty-two".