578241142875 has 256 divisors, whose sum is σ = 1237608253440. Its totient is φ = 263289600000.

The previous prime is 578241142849. The next prime is 578241142891.

578241142875 is a `hidden beast` number, since 578 + 2 + 41 + 1 + 4 + 28 + 7 + 5 = 666.

578241142875 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 578241142875 - 2⁷ = 578241142747 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 442417972 + ... + 442419278.

It is an arithmetic number, because the mean of its divisors is an integer number (4834407240).

Almost surely, 2^578241142875 is an apocalyptic number.

578241142875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

578241142875 is an abundant number, since it is smaller than the sum of its proper divisors (659367110565).

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

578241142875 is a wasteful number, since it uses less digits than its factorization.

578241142875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2044 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The spelling of 578241142875 in words is "five hundred seventy-eight billion, two hundred forty-one million, one hundred forty-two thousand, eight hundred seventy-five".