258208041600 has 240 divisors, whose sum is σ = 952845411870. Its totient is φ = 68855408640.

The previous prime is 258208041587. The next prime is 258208041659. The reversal of 258208041600 is 6140802852.

258208041600 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 0 + 8 + 0 + 41 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 252060227136 + 6147814464 = 502056^2 + 78408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 238887 + ... + 757286.

Almost surely, 2^258208041600 is an apocalyptic number.

258208041600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258208041600 is an abundant number, since it is smaller than the sum of its proper divisors (694637370270).

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

258208041600 is an equidigital number, since it uses as much as digits as its factorization.

258208041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996209 (or 996183 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 258208041600 in words is "two hundred fifty-eight billion, two hundred eight million, forty-one thousand, six hundred".