26680167759345 has 64 divisors (see below), whose sum is σ = 47139215155200. Its totient is φ = 12832341338880.

The previous prime is 26680167759281. The next prime is 26680167759389. The reversal of 26680167759345 is 54395776108662.

It is not a de Polignac number, because 26680167759345 - 2⁶ = 26680167759281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26680167759345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22146217 + ... + 23319846.

It is an arithmetic number, because the mean of its divisors is an integer number (736550236800).

It is a 1-persistent number, because it is pandigital, but 2⋅26680167759345 = 53360335518690 is not.

Almost surely, 2^{26680167759345} is an apocalyptic number.

It is an amenable number.

26680167759345 is a deficient number, since it is larger than the sum of its proper divisors (20459047395855).

26680167759345 is a wasteful number, since it uses less digits than its factorization.

26680167759345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45466190.

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 26680167759345 in words is "twenty-six trillion, six hundred eighty billion, one hundred sixty-seven million, seven hundred fifty-nine thousand, three hundred forty-five".