268905288960 has 1944 divisors, whose sum is σ = 1237661687808. Its totient is φ = 53648179200.

The previous prime is 268905288947. The next prime is 268905288979. The reversal of 268905288960 is 69882509862.

268905288960 is a `hidden beast` number, since 26 + 8 + 9 + 0 + 528 + 89 + 6 + 0 = 666.

It is a super-3 number, since 3×268905288960³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2117364417 + ... + 2117364543.

Almost surely, 2^268905288960 is an apocalyptic number.

268905288960 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 268905288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618830843904).

268905288960 is an abundant number, since it is smaller than the sum of its proper divisors (968756398848).

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

268905288960 is a wasteful number, since it uses less digits than its factorization.

268905288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 268905288960 in words is "two hundred sixty-eight billion, nine hundred five million, two hundred eighty-eight thousand, nine hundred sixty".