268671783025360 has 80 divisors (see below), whose sum is σ = 733868520658560. Its totient is φ = 90183535557120.

The previous prime is 268671783025343. The next prime is 268671783025417. The reversal of 268671783025360 is 63520387176862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×268671783025360² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268671783025292 and 268671783025301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11742636420 + ... + 11742659299.

It is an arithmetic number, because the mean of its divisors is an integer number (9173356508232).

Almost surely, 2^{268671783025360} is an apocalyptic number.

268671783025360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268671783025360 is an abundant number, since it is smaller than the sum of its proper divisors (465196737633200).

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

268671783025360 is a wasteful number, since it uses less digits than its factorization.

268671783025360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23485295756 (or 23485295750 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 268671783025360 in words is "two hundred sixty-eight trillion, six hundred seventy-one billion, seven hundred eighty-three million, twenty-five thousand, three hundred sixty".