268314508800 has 1200 divisors, whose sum is σ = 1133315556912. Its totient is φ = 62108467200.

The previous prime is 268314508741. The next prime is 268314508811. The reversal of 268314508800 is 8805413862.

268314508800 is a `hidden beast` number, since 2 + 68 + 3 + 1 + 4 + 508 + 80 + 0 = 666.

268314508800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 229132215 + ... + 229133385.

Almost surely, 2^268314508800 is an apocalyptic number.

268314508800 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 268314508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566657778456).

268314508800 is an abundant number, since it is smaller than the sum of its proper divisors (865001048112).

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

268314508800 is a wasteful number, since it uses less digits than its factorization.

268314508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 268314508800 in words is "two hundred sixty-eight billion, three hundred fourteen million, five hundred eight thousand, eight hundred".