268270189085184 has 1920 divisors, whose sum is σ = 940590278369280. Its totient is φ = 67170926592000.

The previous prime is 268270189085177. The next prime is 268270189085207. The reversal of 268270189085184 is 481580981072862.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75124666119 + ... + 75124669689.

It is an arithmetic number, because the mean of its divisors is an integer number (489890769984).

Almost surely, 2^{268270189085184} is an apocalyptic number.

268270189085184 is a gapful number since it is divisible by the number (24) 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 268270189085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470295139184640).

268270189085184 is an abundant number, since it is smaller than the sum of its proper divisors (672320089284096).

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

268270189085184 is a wasteful number, since it uses less digits than its factorization.

268270189085184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 69.

The spelling of 268270189085184 in words is "two hundred sixty-eight trillion, two hundred seventy billion, one hundred eighty-nine million, eighty-five thousand, one hundred eighty-four".