268802080875360 has 288 divisors, whose sum is σ = 934865100554112. Its totient is φ = 70313342423040.

The previous prime is 268802080875329. The next prime is 268802080875373. The reversal of 268802080875360 is 63578080208862.

268802080875360 is a `hidden beast` number, since 2 + 68 + 8 + 0 + 208 + 0 + 8 + 7 + 5 + 360 = 666.

268802080875360 is digitally balanced in base 2 and base 4, because in such bases 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 (288).

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, 28068162 + ... + 36406398.

It is an arithmetic number, because the mean of its divisors is an integer number (3246059376924).

Almost surely, 2^{268802080875360} is an apocalyptic number.

268802080875360 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 268802080875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467432550277056).

268802080875360 is an abundant number, since it is smaller than the sum of its proper divisors (666063019678752).

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

268802080875360 is a wasteful number, since it uses less digits than its factorization.

268802080875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338686 (or 8338675 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 268802080875360 in words is "two hundred sixty-eight trillion, eight hundred two billion, eighty million, eight hundred seventy-five thousand, three hundred sixty".