258530745600 has 540 divisors, whose sum is σ = 997513092576. Its totient is φ = 65941032960.

The previous prime is 258530745587. The next prime is 258530745611. The reversal of 258530745600 is 6547035852.

258530745600 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 30 + 7 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11912359 + ... + 11934041.

Almost surely, 2^258530745600 is an apocalyptic number.

258530745600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258530745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498756546288).

258530745600 is an abundant number, since it is smaller than the sum of its proper divisors (738982346976).

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

258530745600 is a wasteful number, since it uses less digits than its factorization.

258530745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21744 (or 21716 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 258530745600 in words is "two hundred fifty-eight billion, five hundred thirty million, seven hundred forty-five thousand, six hundred".