26680928204160 has 1280 divisors, whose sum is σ = 104504315097600. Its totient is φ = 6467880222720.

The previous prime is 26680928204143. The next prime is 26680928204237. The reversal of 26680928204160 is 6140282908662.

26680928204160 is a `hidden beast` number, since 2 + 6 + 68 + 0 + 92 + 82 + 0 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26680928204097 and 26680928204106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1724346184 + ... + 1724361656.

It is an arithmetic number, because the mean of its divisors is an integer number (81643996170).

Almost surely, 2^{26680928204160} is an apocalyptic number.

26680928204160 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 26680928204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52252157548800).

26680928204160 is an abundant number, since it is smaller than the sum of its proper divisors (77823386893440).

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

26680928204160 is a wasteful number, since it uses less digits than its factorization.

26680928204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15601 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 26680928204160 in words is "twenty-six trillion, six hundred eighty billion, nine hundred twenty-eight million, two hundred four thousand, one hundred sixty".