268278857280 has 1008 divisors, whose sum is σ = 1100103301440. Its totient is φ = 59821203456.

The previous prime is 268278857263. The next prime is 268278857309. The reversal of 268278857280 is 82758872862.

268278857280 is a `hidden beast` number, since 2 + 6 + 8 + 278 + 85 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1645882479 + ... + 1645882641.

Almost surely, 2^268278857280 is an apocalyptic number.

268278857280 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 268278857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550051650720).

268278857280 is an abundant number, since it is smaller than the sum of its proper divisors (831824444160).

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

268278857280 is a wasteful number, since it uses less digits than its factorization.

268278857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 268278857280 in words is "two hundred sixty-eight billion, two hundred seventy-eight million, eight hundred fifty-seven thousand, two hundred eighty".