268185328960 has 112 divisors (see below), whose sum is σ = 642768774912. Its totient is φ = 106578892800.

The previous prime is 268185328949. The next prime is 268185328981. The reversal of 268185328960 is 69823581862.

268185328960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268185328895 and 268185328904.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 32342415 + ... + 32350705.

Almost surely, 2^268185328960 is an apocalyptic number.

268185328960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268185328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321384387456).

268185328960 is an abundant number, since it is smaller than the sum of its proper divisors (374583445952).

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

268185328960 is a wasteful number, since it uses less digits than its factorization.

268185328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 268185328960 in words is "two hundred sixty-eight billion, one hundred eighty-five million, three hundred twenty-eight thousand, nine hundred sixty".