268568603126127 has 24 divisors (see below), whose sum is σ = 388977121762944. Its totient is φ = 178564102165584.

The previous prime is 268568603126099. The next prime is 268568603126129. The reversal of 268568603126127 is 721621306865862.

268568603126127 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 6 + 8 + 6 + 0 + 3 + 1 + 2 + 612 + 7 = 666.

268568603126127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268568603126127 - 2¹⁴ = 268568603109743 is a prime.

It is a super-2 number, since 2×268568603126127² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268568603126129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16196803 + ... + 28274964.

It is an arithmetic number, because the mean of its divisors is an integer number (16207380073456).

Almost surely, 2^{268568603126127} is an apocalyptic number.

268568603126127 is a deficient number, since it is larger than the sum of its proper divisors (120408518636817).

268568603126127 is a wasteful number, since it uses less digits than its factorization.

268568603126127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44473579 (or 44473576 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 268568603126127 in words is "two hundred sixty-eight trillion, five hundred sixty-eight billion, six hundred three million, one hundred twenty-six thousand, one hundred twenty-seven".