258382720064 has 42 divisors (see below), whose sum is σ = 596438945550. Its totient is φ = 110735450112.

The previous prime is 258382720049. The next prime is 258382720073. The reversal of 258382720064 is 460027283852.

It can be written as a sum of positive squares in only one way, i.e., 257130126400 + 1252593664 = 507080^2 + 35392^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41193089 + ... + 41199360.

It is an arithmetic number, because the mean of its divisors is an integer number (14200927275).

Almost surely, 2^258382720064 is an apocalyptic number.

It is an amenable number.

258382720064 is an abundant number, since it is smaller than the sum of its proper divisors (338056225486).

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

258382720064 is an equidigital number, since it uses as much as digits as its factorization.

258382720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82392475 (or 82392458 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 258382720064 in words is "two hundred fifty-eight billion, three hundred eighty-two million, seven hundred twenty thousand, sixty-four".