268803517320 has 96 divisors (see below), whose sum is σ = 940812327000. Its totient is φ = 66167018496.

The previous prime is 268803517313. The next prime is 268803517337. The reversal of 268803517320 is 23715308862.

268803517320 is a `hidden beast` number, since 26 + 8 + 80 + 3 + 517 + 32 + 0 = 666.

268803517320 is digitally balanced in base 2, 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 4 ways, for example, as 227282934564 + 41520582756 = 476742^2 + 203766^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 28713645 + ... + 28723004.

Almost surely, 2^268803517320 is an apocalyptic number.

268803517320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268803517320 is an abundant number, since it is smaller than the sum of its proper divisors (672008809680).

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

268803517320 is a wasteful number, since it uses less digits than its factorization.

268803517320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57436679 (or 57436672 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 268803517320 in words is "two hundred sixty-eight billion, eight hundred three million, five hundred seventeen thousand, three hundred twenty".