268759939140 has 288 divisors, whose sum is σ = 1054047181824. Its totient is φ = 55846143360.

The previous prime is 268759939139. The next prime is 268759939141. The reversal of 268759939140 is 41939957862.

268759939140 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 599 + 39 + 1 + 4 + 0 = 666.

268759939140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268759939139) and next prime (268759939141).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (268759939141) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15127 + ... + 733313.

It is an arithmetic number, because the mean of its divisors is an integer number (3659886048).

It is a 1-persistent number, because it is pandigital, but 2⋅268759939140 = 537519878280 is not.

Almost surely, 2^268759939140 is an apocalyptic number.

268759939140 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 268759939140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527023590912).

268759939140 is an abundant number, since it is smaller than the sum of its proper divisors (785287242684).

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

268759939140 is a wasteful number, since it uses less digits than its factorization.

268759939140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718229 (or 718215 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 268759939140 in words is "two hundred sixty-eight billion, seven hundred fifty-nine million, nine hundred thirty-nine thousand, one hundred forty".