268255065960000 has 840 divisors, whose sum is σ = 1102642663700864. Its totient is φ = 61060884480000.

The previous prime is 268255065959987. The next prime is 268255065960023. The reversal of 268255065960000 is 69560552862.

268255065960000 is a `hidden beast` number, since 2 + 6 + 8 + 25 + 5 + 0 + 6 + 5 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 607099149 + ... + 607540851.

Almost surely, 2^{268255065960000} is an apocalyptic number.

268255065960000 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 268255065960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551321331850432).

268255065960000 is an abundant number, since it is smaller than the sum of its proper divisors (834387597740864).

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

268255065960000 is a wasteful number, since it uses less digits than its factorization.

268255065960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441989 (or 441961 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 268255065960000 in words is "two hundred sixty-eight trillion, two hundred fifty-five billion, sixty-five million, nine hundred sixty thousand".