258442001009760 has 48 divisors (see below), whose sum is σ = 814092303182256. Its totient is φ = 68917866935808.

The previous prime is 258442001009749. The next prime is 258442001009809. The reversal of 258442001009760 is 67900100244852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269210417239 + ... + 269210418198.

It is an arithmetic number, because the mean of its divisors is an integer number (16960256316297).

Almost surely, 2^{258442001009760} is an apocalyptic number.

258442001009760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258442001009760 is an abundant number, since it is smaller than the sum of its proper divisors (555650302172496).

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

258442001009760 is a wasteful number, since it uses less digits than its factorization.

258442001009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538420835455 (or 538420835447 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 258442001009760 in words is "two hundred fifty-eight trillion, four hundred forty-two billion, one million, nine thousand, seven hundred sixty".