268845080881920 has 288 divisors, whose sum is σ = 859579678540800. Its totient is φ = 71612262776832.

The previous prime is 268845080881891. The next prime is 268845080881933. The reversal of 268845080881920 is 29188080548862.

It is a happy number.

It is a super-2 number, since 2×268845080881920² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 19720163424 + ... + 19720177056.

It is an arithmetic number, because the mean of its divisors is an integer number (2984651661600).

Almost surely, 2^{268845080881920} is an apocalyptic number.

268845080881920 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 268845080881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429789839270400).

268845080881920 is an abundant number, since it is smaller than the sum of its proper divisors (590734597658880).

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

268845080881920 is a wasteful number, since it uses less digits than its factorization.

268845080881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995 (or 18981 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 69.

The spelling of 268845080881920 in words is "two hundred sixty-eight trillion, eight hundred forty-five billion, eighty million, eight hundred eighty-one thousand, nine hundred twenty".