268813549670400 has 3120 divisors, whose sum is σ = 1222586956272000. Its totient is φ = 58197544796160.

The previous prime is 268813549670383. The next prime is 268813549670411. The reversal of 268813549670400 is 4076945318862.

268813549670400 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 1 + 35 + 496 + 70 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54054602314 + ... + 54054607286.

It is a 1-persistent number, because it is pandigital, but 2⋅268813549670400 = 537627099340800 is not.

Almost surely, 2^{268813549670400} is an apocalyptic number.

268813549670400 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 268813549670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611293478136000).

268813549670400 is an abundant number, since it is smaller than the sum of its proper divisors (953773406601600).

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

268813549670400 is an equidigital number, since it uses as much as digits as its factorization.

268813549670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 268813549670400 in words is "two hundred sixty-eight trillion, eight hundred thirteen billion, five hundred forty-nine million, six hundred seventy thousand, four hundred".