268965840663520 has 1152 divisors, whose sum is σ = 882012461460480. Its totient is φ = 75210248355840.

The previous prime is 268965840663517. The next prime is 268965840663523. The reversal of 268965840663520 is 25366048569862.

It is an interprime number because it is at equal distance from previous prime (268965840663517) and next prime (268965840663523).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 268965840663520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268965840663523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112396923444 + ... + 112396925836.

It is an arithmetic number, because the mean of its divisors is an integer number (765635817240).

Almost surely, 2^{268965840663520} is an apocalyptic number.

268965840663520 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 268965840663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441006230730240).

268965840663520 is an abundant number, since it is smaller than the sum of its proper divisors (613046620796960).

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

268965840663520 is a wasteful number, since it uses less digits than its factorization.

268965840663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 70.

The spelling of 268965840663520 in words is "two hundred sixty-eight trillion, nine hundred sixty-five billion, eight hundred forty million, six hundred sixty-three thousand, five hundred twenty".