268013002880 has 192 divisors, whose sum is σ = 784555113600. Its totient is φ = 87053654016.

The previous prime is 268013002877. The next prime is 268013002889. The reversal of 268013002880 is 88200310862.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (268013002889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370937 + ... + 820743.

It is an arithmetic number, because the mean of its divisors is an integer number (4086224550).

Almost surely, 2^268013002880 is an apocalyptic number.

268013002880 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 268013002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392277556800).

268013002880 is an abundant number, since it is smaller than the sum of its proper divisors (516542110720).

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

268013002880 is a wasteful number, since it uses less digits than its factorization.

268013002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449859 (or 449840 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 268013002880 in words is "two hundred sixty-eight billion, thirteen million, two thousand, eight hundred eighty".