258160167244800 has 1584 divisors, whose sum is σ = 978005700771840. Its totient is φ = 64935756103680.

The previous prime is 258160167244769. The next prime is 258160167244829. The reversal of 258160167244800 is 8442761061852.

258160167244800 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 601 + 6 + 7 + 24 + 4 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120466712529 + ... + 120466714671.

Almost surely, 2^{258160167244800} is an apocalyptic number.

258160167244800 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 258160167244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489002850385920).

258160167244800 is an abundant number, since it is smaller than the sum of its proper divisors (719845533527040).

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

258160167244800 is a wasteful number, since it uses less digits than its factorization.

258160167244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 258160167244800 in words is "two hundred fifty-eight trillion, one hundred sixty billion, one hundred sixty-seven million, two hundred forty-four thousand, eight hundred".