26680152768039 has 24 divisors (see below), whose sum is σ = 39580916444160. Its totient is φ = 17305454547648.

The previous prime is 26680152768011. The next prime is 26680152768067. The reversal of 26680152768039 is 93086725108662.

It is a happy number.

26680152768039 is a `hidden beast` number, since 26 + 6 + 8 + 0 + 1 + 527 + 6 + 80 + 3 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (26680152768011) and next prime (26680152768067).

It is a de Polignac number, because none of the positive numbers 2^k-26680152768039 is a prime.

It is a super-2 number, since 2×26680152768039² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26680152768739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8514394 + ... + 11218520.

It is an arithmetic number, because the mean of its divisors is an integer number (1649204851840).

Almost surely, 2^{26680152768039} is an apocalyptic number.

26680152768039 is a deficient number, since it is larger than the sum of its proper divisors (12900763676121).

26680152768039 is a wasteful number, since it uses less digits than its factorization.

26680152768039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733799 (or 2733796 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 26680152768039 in words is "twenty-six trillion, six hundred eighty billion, one hundred fifty-two million, seven hundred sixty-eight thousand, thirty-nine".