258200446768 has 40 divisors (see below), whose sum is σ = 550039080960. Its totient is φ = 116439704640.

The previous prime is 258200446759. The next prime is 258200446813. The reversal of 258200446768 is 867644002852.

258200446768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258200446768² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5753428 + ... + 5798131.

It is an arithmetic number, because the mean of its divisors is an integer number (13750977024).

Almost surely, 2^258200446768 is an apocalyptic number.

It is an amenable number.

258200446768 is an abundant number, since it is smaller than the sum of its proper divisors (291838634192).

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

258200446768 is a wasteful number, since it uses less digits than its factorization.

258200446768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551705 (or 11551699 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 258200446768 in words is "two hundred fifty-eight billion, two hundred million, four hundred forty-six thousand, seven hundred sixty-eight".