258165309600 has 648 divisors, whose sum is σ = 1027811208060. Its totient is φ = 60886425600.

The previous prime is 258165309599. The next prime is 258165309667. The reversal of 258165309600 is 6903561852.

258165309600 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 6 + 5 + 30 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 169720928784 + 88444380816 = 411972^2 + 297396^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32230396 + ... + 32238404.

Almost surely, 2^258165309600 is an apocalyptic number.

258165309600 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 258165309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513905604030).

258165309600 is an abundant number, since it is smaller than the sum of its proper divisors (769645898460).

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

258165309600 is a wasteful number, since it uses less digits than its factorization.

258165309600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 258165 and 309600, that added together give a palindrome (567765).

The spelling of 258165309600 in words is "two hundred fifty-eight billion, one hundred sixty-five million, three hundred nine thousand, six hundred".