268495150049280 has 6912 divisors, whose sum is σ = 1323650412564480. Its totient is φ = 50565847449600.

The previous prime is 268495150049261. The next prime is 268495150049327. The reversal of 268495150049280 is 82940051594862.

268495150049280 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 9 + 5 + 1 + 500 + 49 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3781621831645 + ... + 3781621831715.

It is an arithmetic number, because the mean of its divisors is an integer number (191500349040).

Almost surely, 2^{268495150049280} is an apocalyptic number.

268495150049280 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 268495150049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661825206282240).

268495150049280 is an abundant number, since it is smaller than the sum of its proper divisors (1055155262515200).

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

268495150049280 is an equidigital number, since it uses as much as digits as its factorization.

268495150049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 268495150049280 in words is "two hundred sixty-eight trillion, four hundred ninety-five billion, one hundred fifty million, forty-nine thousand, two hundred eighty".