268375802500 has 135 divisors (see below), whose sum is σ = 636300199227. Its totient is φ = 98968272000.

The previous prime is 268375802417. The next prime is 268375802533. The reversal of 268375802500 is 5208573862.

It is a happy number.

The square root of 268375802500 is 518050.

It is a perfect power (a square), and thus also a powerful number.

268375802500 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 159771281796 + 108604520704 = 399714^2 + 329552^2 .

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 336732102 + ... + 336732898.

Almost surely, 2^268375802500 is an apocalyptic number.

268375802500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268375802500 is the 518050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268375802500

268375802500 is an abundant number, since it is smaller than the sum of its proper divisors (367924396727).

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

268375802500 is an frugal number, since it uses more digits than its factorization.

268375802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 268375802500 in words is "two hundred sixty-eight billion, three hundred seventy-five million, eight hundred two thousand, five hundred".