268935279875280 has 240 divisors, whose sum is σ = 932341740595200. Its totient is φ = 69400213401600.

The previous prime is 268935279875263. The next prime is 268935279875323. The reversal of 268935279875280 is 82578972539862.

268935279875280 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 3 + 5 + 2 + 7 + 9 + 87 + 528 + 0 = 666.

268935279875280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 268935279875280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684380296 + ... + 684773144.

It is an arithmetic number, because the mean of its divisors is an integer number (3884757252480).

Almost surely, 2^{268935279875280} is an apocalyptic number.

268935279875280 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 268935279875280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466170870297600).

268935279875280 is an abundant number, since it is smaller than the sum of its proper divisors (663406460719920).

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

268935279875280 is a wasteful number, since it uses less digits than its factorization.

268935279875280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423570 (or 423561 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 268935279875280 in words is "two hundred sixty-eight trillion, nine hundred thirty-five billion, two hundred seventy-nine million, eight hundred seventy-five thousand, two hundred eighty".