268265637120 has 288 divisors, whose sum is σ = 945190600704. Its totient is φ = 64423526400.

The previous prime is 268265637071. The next prime is 268265637151. The reversal of 268265637120 is 21736562862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268265637120.

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 31 ways as a sum of consecutive naturals, for example, 1981185 + ... + 2112255.

It is an arithmetic number, because the mean of its divisors is an integer number (3281911808).

Almost surely, 2^268265637120 is an apocalyptic number.

268265637120 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 268265637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472595300352).

268265637120 is an abundant number, since it is smaller than the sum of its proper divisors (676924963584).

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

268265637120 is a wasteful number, since it uses less digits than its factorization.

268265637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131149 (or 131135 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 268265637120 in words is "two hundred sixty-eight billion, two hundred sixty-five million, six hundred thirty-seven thousand, one hundred twenty".