268949725200 has 180 divisors, whose sum is σ = 1005125064580. Its totient is φ = 66202997760.

The previous prime is 268949725193. The next prime is 268949725211. The reversal of 268949725200 is 2527949862.

268949725200 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 49 + 72 + 520 + 0 = 666.

268949725200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 559417104 + 268390308096 = 23652^2 + 518064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 2826595 + ... + 2920194.

Almost surely, 2^268949725200 is an apocalyptic number.

268949725200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268949725200 is an abundant number, since it is smaller than the sum of its proper divisors (736175339380).

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

268949725200 is a wasteful number, since it uses less digits than its factorization.

268949725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746826 (or 5746812 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 268949725200 in words is "two hundred sixty-eight billion, nine hundred forty-nine million, seven hundred twenty-five thousand, two hundred".