258887616100 has 243 divisors, whose sum is σ = 620180853411. Its totient is φ = 93783859200.

The previous prime is 258887616047. The next prime is 258887616181. The reversal of 258887616100 is 1616788852.

The square root of 258887616100 is 508810.

It is a perfect power (a square), and thus also a powerful number.

258887616100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 229657559076 + 29230057024 = 479226^2 + 170968^2 .

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 3546405664 + ... + 3546405736.

Almost surely, 2^258887616100 is an apocalyptic number.

258887616100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

258887616100 is the 508810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258887616100

258887616100 is an abundant number, since it is smaller than the sum of its proper divisors (361293237311).

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

258887616100 is a wasteful number, since it uses less digits than its factorization.

258887616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 258887616100 in words is "two hundred fifty-eight billion, eight hundred eighty-seven million, six hundred sixteen thousand, one hundred".