268819020288 has 480 divisors, whose sum is σ = 957311811456. Its totient is φ = 70716063744.

The previous prime is 268819020271. The next prime is 268819020307. The reversal of 268819020288 is 882020918862.

It is a happy number.

268819020288 is a `hidden beast` number, since 268 + 81 + 9 + 0 + 20 + 288 = 666.

268819020288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 269627406 + ... + 269628402.

Almost surely, 2^268819020288 is an apocalyptic number.

268819020288 is a gapful number since it is divisible by the number (28) 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 268819020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478655905728).

268819020288 is an abundant number, since it is smaller than the sum of its proper divisors (688492791168).

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

268819020288 is a wasteful number, since it uses less digits than its factorization.

268819020288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 268819020288 in words is "two hundred sixty-eight billion, eight hundred nineteen million, twenty thousand, two hundred eighty-eight".