258347480832 has 540 divisors, whose sum is σ = 900574450776. Its totient is φ = 73446912000.

The previous prime is 258347480803. The next prime is 258347480849. The reversal of 258347480832 is 238084743852.

258347480832 is a `hidden beast` number, since 2 + 5 + 83 + 4 + 7 + 480 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 255031558 + ... + 255032570.

Almost surely, 2^258347480832 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 258347480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450287225388).

258347480832 is an abundant number, since it is smaller than the sum of its proper divisors (642226969944).

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

258347480832 is a wasteful number, since it uses less digits than its factorization.

258347480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 258347480832 in words is "two hundred fifty-eight billion, three hundred forty-seven million, four hundred eighty thousand, eight hundred thirty-two".