268854242110080 has 2048 divisors, whose sum is σ = 1035819709747200. Its totient is φ = 58565418024960.

The previous prime is 268854242110039. The next prime is 268854242110121. The reversal of 268854242110080 is 80011242458862.

It is an interprime number because it is at equal distance from previous prime (268854242110039) and next prime (268854242110121).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 337332800242 + ... + 337332801038.

It is an arithmetic number, because the mean of its divisors is an integer number (505771342650).

Almost surely, 2^{268854242110080} is an apocalyptic number.

268854242110080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268854242110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517909854873600).

268854242110080 is an abundant number, since it is smaller than the sum of its proper divisors (766965467637120).

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

268854242110080 is a wasteful number, since it uses less digits than its factorization.

268854242110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 268854242110080 in words is "two hundred sixty-eight trillion, eight hundred fifty-four billion, two hundred forty-two million, one hundred ten thousand, eighty".