258243379200 has 720 divisors, whose sum is σ = 999524568000. Its totient is φ = 65187348480.

The previous prime is 258243379189. The next prime is 258243379237. The reversal of 258243379200 is 2973342852.

258243379200 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 433 + 7 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 210124186 + ... + 210125414.

Almost surely, 2^258243379200 is an apocalyptic number.

258243379200 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 258243379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499762284000).

258243379200 is an abundant number, since it is smaller than the sum of its proper divisors (741281188800).

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

258243379200 is a wasteful number, since it uses less digits than its factorization.

258243379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 258243379200 in words is "two hundred fifty-eight billion, two hundred forty-three million, three hundred seventy-nine thousand, two hundred".