268023217280 has 512 divisors, whose sum is σ = 866286489600. Its totient is φ = 76859228160.

The previous prime is 268023217279. The next prime is 268023217391. The reversal of 268023217280 is 82712320862.

It is a happy number.

It is a super-2 number, since 2×268023217280² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25445615 + ... + 25456145.

It is an arithmetic number, because the mean of its divisors is an integer number (1691965800).

Almost surely, 2^268023217280 is an apocalyptic number.

268023217280 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 268023217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433143244800).

268023217280 is an abundant number, since it is smaller than the sum of its proper divisors (598263272320).

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

268023217280 is a wasteful number, since it uses less digits than its factorization.

268023217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 268023217280 in words is "two hundred sixty-eight billion, twenty-three million, two hundred seventeen thousand, two hundred eighty".