268571835840 has 448 divisors, whose sum is σ = 1064249238528. Its totient is φ = 55748198400.

The previous prime is 268571835781. The next prime is 268571835869. The reversal of 268571835840 is 48538175862.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 125441170 + ... + 125443310.

It is an arithmetic number, because the mean of its divisors is an integer number (2375556336).

Almost surely, 2^268571835840 is an apocalyptic number.

268571835840 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 268571835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532124619264).

268571835840 is an abundant number, since it is smaller than the sum of its proper divisors (795677402688).

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

268571835840 is a wasteful number, since it uses less digits than its factorization.

268571835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 268571835840 in words is "two hundred sixty-eight billion, five hundred seventy-one million, eight hundred thirty-five thousand, eight hundred forty".