258408560124 has 576 divisors, whose sum is σ = 849761418240. Its totient is φ = 66820723200.

The previous prime is 258408560117. The next prime is 258408560159. The reversal of 258408560124 is 421065804852.

258408560124 is a `hidden beast` number, since 2 + 5 + 84 + 0 + 8 + 560 + 1 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258408560124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341358354 + ... + 341359110.

It is an arithmetic number, because the mean of its divisors is an integer number (1475280240).

Almost surely, 2^258408560124 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 258408560124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424880709120).

258408560124 is an abundant number, since it is smaller than the sum of its proper divisors (591352858116).

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

258408560124 is a wasteful number, since it uses less digits than its factorization.

258408560124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 258408560124 in words is "two hundred fifty-eight billion, four hundred eight million, five hundred sixty thousand, one hundred twenty-four".