268191475200 has 1920 divisors, whose sum is σ = 1169068032000. Its totient is φ = 59520614400.

The previous prime is 268191475199. The next prime is 268191475273. The reversal of 268191475200 is 2574191862.

268191475200 is a `hidden beast` number, since 2 + 6 + 81 + 9 + 1 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3394828761 + ... + 3394828839.

It is an arithmetic number, because the mean of its divisors is an integer number (608889600).

Almost surely, 2^268191475200 is an apocalyptic number.

268191475200 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 268191475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584534016000).

268191475200 is an abundant number, since it is smaller than the sum of its proper divisors (900876556800).

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

268191475200 is a wasteful number, since it uses less digits than its factorization.

268191475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 268191475200 in words is "two hundred sixty-eight billion, one hundred ninety-one million, four hundred seventy-five thousand, two hundred".