26684172103680 has 4992 divisors, whose sum is σ = 128778938695680. Its totient is φ = 4953389137920.

The previous prime is 26684172103679. The next prime is 26684172103691. The reversal of 26684172103680 is 8630127148662.

It is a happy number.

26684172103680 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 417 + 210 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 365536604124 + ... + 365536604196.

It is an arithmetic number, because the mean of its divisors is an integer number (25797063040).

Almost surely, 2^{26684172103680} is an apocalyptic number.

26684172103680 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 26684172103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64389469347840).

26684172103680 is an abundant number, since it is smaller than the sum of its proper divisors (102094766592000).

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

26684172103680 is a wasteful number, since it uses less digits than its factorization.

26684172103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26684172103680 in words is "twenty-six trillion, six hundred eighty-four billion, one hundred seventy-two million, one hundred three thousand, six hundred eighty".