268356800020 has 48 divisors (see below), whose sum is σ = 569377443600. Its totient is φ = 106233523200.

The previous prime is 268356799999. The next prime is 268356800081. The reversal of 268356800020 is 20008653862.

It can be written as a sum of positive squares in 8 ways, for example, as 1074003984 + 267282796036 = 32772^2 + 516994^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797976 + ... + 4853584.

It is an arithmetic number, because the mean of its divisors is an integer number (11862030075).

Almost surely, 2^268356800020 is an apocalyptic number.

268356800020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268356800020 is an abundant number, since it is smaller than the sum of its proper divisors (301020643580).

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

268356800020 is a wasteful number, since it uses less digits than its factorization.

268356800020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58108 (or 58106 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 268356800020 in words is "two hundred sixty-eight billion, three hundred fifty-six million, eight hundred thousand, twenty".