258128160 has 96 divisors (see below), whose sum is σ = 820471680. Its totient is φ = 68210688.

The previous prime is 258128141. The next prime is 258128173. The reversal of 258128160 is 61821852.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51861 + ... + 56619.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2^258128160 is an apocalyptic number.

258128160 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 258128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410235840).

258128160 is an abundant number, since it is smaller than the sum of its proper divisors (562343520).

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

258128160 is a wasteful number, since it uses less digits than its factorization.

258128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 258128160 is about 16066.3673554416. The cubic root of 258128160 is about 636.7150693109.

The spelling of 258128160 in words is "two hundred fifty-eight million, one hundred twenty-eight thousand, one hundred sixty".