258966032256 has 512 divisors, whose sum is σ = 818532864000. Its totient is φ = 80467845120.

The previous prime is 258966032243. The next prime is 258966032257. The reversal of 258966032256 is 652230669852.

258966032256 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 6 + 603 + 2 + 25 + 6 = 666.

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 (258966032257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335013886 + ... + 335014658.

It is an arithmetic number, because the mean of its divisors is an integer number (1598697000).

Almost surely, 2^258966032256 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 258966032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409266432000).

258966032256 is an abundant number, since it is smaller than the sum of its proper divisors (559566831744).

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

258966032256 is a wasteful number, since it uses less digits than its factorization.

258966032256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 258966032256 in words is "two hundred fifty-eight billion, nine hundred sixty-six million, thirty-two thousand, two hundred fifty-six".