268507891200 has 240 divisors, whose sum is σ = 917589016080. Its totient is φ = 69132779520.

The previous prime is 268507891199. The next prime is 268507891217. The reversal of 268507891200 is 2198705862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268507891200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993042 + ... + 1234158.

It is an arithmetic number, because the mean of its divisors is an integer number (3823287567).

Almost surely, 2^268507891200 is an apocalyptic number.

268507891200 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 268507891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458794508040).

268507891200 is an abundant number, since it is smaller than the sum of its proper divisors (649081124880).

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

268507891200 is a wasteful number, since it uses less digits than its factorization.

268507891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241177 (or 241156 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 268507891200 in words is "two hundred sixty-eight billion, five hundred seven million, eight hundred ninety-one thousand, two hundred".