268987502080 has 320 divisors, whose sum is σ = 748392099840. Its totient is φ = 91635712000.

The previous prime is 268987502033. The next prime is 268987502099. The reversal of 268987502080 is 80205789862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 114412905 + ... + 114415255.

It is an arithmetic number, because the mean of its divisors is an integer number (2338725312).

Almost surely, 2^268987502080 is an apocalyptic number.

268987502080 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 268987502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374196049920).

268987502080 is an abundant number, since it is smaller than the sum of its proper divisors (479404597760).

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

268987502080 is a wasteful number, since it uses less digits than its factorization.

268987502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 268987502080 in words is "two hundred sixty-eight billion, nine hundred eighty-seven million, five hundred two thousand, eighty".