268598919820 has 96 divisors (see below), whose sum is σ = 744607987200. Its totient is φ = 78794480640.

The previous prime is 268598919817. The next prime is 268598919821. The reversal of 268598919820 is 28919895862.

268598919820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268598919821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5103670 + ... + 5156029.

It is an arithmetic number, because the mean of its divisors is an integer number (7756333200).

Almost surely, 2^268598919820 is an apocalyptic number.

268598919820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268598919820 is an abundant number, since it is smaller than the sum of its proper divisors (476009067380).

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

268598919820 is a wasteful number, since it uses less digits than its factorization.

268598919820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259743 (or 10259741 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 67.

The spelling of 268598919820 in words is "two hundred sixty-eight billion, five hundred ninety-eight million, nine hundred nineteen thousand, eight hundred twenty".