258361821234 has 160 divisors (see below), whose sum is σ = 640278473472. Its totient is φ = 77215680000.

The previous prime is 258361821227. The next prime is 258361821253. The reversal of 258361821234 is 432128163852.

258361821234 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 618 + 2 + 1 + 23 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258361821234.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48772474 + ... + 48777770.

Almost surely, 2^258361821234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258361821234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320139236736).

258361821234 is an abundant number, since it is smaller than the sum of its proper divisors (381916652238).

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

258361821234 is a wasteful number, since it uses less digits than its factorization.

258361821234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5685 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 258361821234 in words is "two hundred fifty-eight billion, three hundred sixty-one million, eight hundred twenty-one thousand, two hundred thirty-four".