258104024832 has 144 divisors (see below), whose sum is σ = 732578757120. Its totient is φ = 80390701056.

The previous prime is 258104024819. The next prime is 258104024837. The reversal of 258104024832 is 238420401852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258104024837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743673 + ... + 1885895.

It is an arithmetic number, because the mean of its divisors is an integer number (5087352480).

Almost surely, 2^258104024832 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 258104024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366289378560).

258104024832 is an abundant number, since it is smaller than the sum of its proper divisors (474474732288).

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

258104024832 is a wasteful number, since it uses less digits than its factorization.

258104024832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142398 (or 142384 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 258104024832 in words is "two hundred fifty-eight billion, one hundred four million, twenty-four thousand, eight hundred thirty-two".