258241803683800 has 48 divisors (see below), whose sum is σ = 621116062322400. Its totient is φ = 99734765558400.

The previous prime is 258241803683777. The next prime is 258241803683807. The reversal of 258241803683800 is 8386308142852.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258241803683807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22262218656 + ... + 22262230255.

It is an arithmetic number, because the mean of its divisors is an integer number (12939917965050).

Almost surely, 2^{258241803683800} is an apocalyptic number.

258241803683800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258241803683800 is an abundant number, since it is smaller than the sum of its proper divisors (362874258638600).

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

258241803683800 is a wasteful number, since it uses less digits than its factorization.

258241803683800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44524448956 (or 44524448947 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 258241803683800 in words is "two hundred fifty-eight trillion, two hundred forty-one billion, eight hundred three million, six hundred eighty-three thousand, eight hundred".