258064345490240 has 28 divisors (see below), whose sum is σ = 614515722699396. Its totient is φ = 103225738195968.

The previous prime is 258064345490233. The next prime is 258064345490243. The reversal of 258064345490240 is 42094543460852.

It can be written as a sum of positive squares in 2 ways, for example, as 57692167127296 + 200372178362944 = 7595536^2 + 14155288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258064345490243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 403225539509 + ... + 403225540148.

It is an arithmetic number, because the mean of its divisors is an integer number (21946990096407).

Almost surely, 2^{258064345490240} is an apocalyptic number.

258064345490240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258064345490240 is an abundant number, since it is smaller than the sum of its proper divisors (356451377209156).

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

258064345490240 is an equidigital number, since it uses as much as digits as its factorization.

258064345490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806451079674 (or 806451079664 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 258064345490240 in words is "two hundred fifty-eight trillion, sixty-four billion, three hundred forty-five million, four hundred ninety thousand, two hundred forty".