268130918880 has 288 divisors, whose sum is σ = 1030379470848. Its totient is φ = 62904499200.

The previous prime is 268130918863. The next prime is 268130918899. The reversal of 268130918880 is 88819031862.

268130918880 is a `hidden beast` number, since 2 + 6 + 81 + 309 + 188 + 80 = 666.

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, 218017 + ... + 764063.

It is an arithmetic number, because the mean of its divisors is an integer number (3577706496).

Almost surely, 2^268130918880 is an apocalyptic number.

268130918880 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 268130918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515189735424).

268130918880 is an abundant number, since it is smaller than the sum of its proper divisors (762248551968).

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

268130918880 is a wasteful number, since it uses less digits than its factorization.

268130918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546110 (or 546099 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 268130918880 in words is "two hundred sixty-eight billion, one hundred thirty million, nine hundred eighteen thousand, eight hundred eighty".