258068625408 has 576 divisors, whose sum is σ = 883922457600. Its totient is φ = 71663616000.

The previous prime is 258068625407. The next prime is 258068625433. The reversal of 258068625408 is 804526860852.

It is a happy number.

258068625408 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 6 + 8 + 625 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258068625407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119419848 + ... + 119422008.

It is an arithmetic number, because the mean of its divisors is an integer number (1534587600).

Almost surely, 2^258068625408 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 258068625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441961228800).

258068625408 is an abundant number, since it is smaller than the sum of its proper divisors (625853832192).

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

258068625408 is a wasteful number, since it uses less digits than its factorization.

258068625408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 258068625408 in words is "two hundred fifty-eight billion, sixty-eight million, six hundred twenty-five thousand, four hundred eight".