268865775360 has 2592 divisors, whose sum is σ = 1282445498880. Its totient is φ = 53341618176.

The previous prime is 268865775341. The next prime is 268865775361. The reversal of 268865775360 is 63577568862.

It is a happy number.

268865775360 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 6 + 577 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268865775361) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 4557047011 + ... + 4557047069.

It is an arithmetic number, because the mean of its divisors is an integer number (494770640).

Almost surely, 2^268865775360 is an apocalyptic number.

268865775360 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 268865775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641222749440).

268865775360 is an abundant number, since it is smaller than the sum of its proper divisors (1013579723520).

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

268865775360 is a wasteful number, since it uses less digits than its factorization.

268865775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 268865775360 in words is "two hundred sixty-eight billion, eight hundred sixty-five million, seven hundred seventy-five thousand, three hundred sixty".