27206009328960 has 2016 divisors, whose sum is σ = 126916496179200. Its totient is φ = 5182125465600.

The previous prime is 27206009328943. The next prime is 27206009329003. The reversal of 27206009328960 is 6982390060272.

It is a happy number.

27206009328960 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 600 + 9 + 3 + 28 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 27206009328897 and 27206009328906.

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 287 ways as a sum of consecutive naturals, for example, 4049112481 + ... + 4049119199.

It is an arithmetic number, because the mean of its divisors is an integer number (62954611200).

Almost surely, 2^{27206009328960} is an apocalyptic number.

27206009328960 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 27206009328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63458248089600).

27206009328960 is an abundant number, since it is smaller than the sum of its proper divisors (99710486850240).

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

27206009328960 is a wasteful number, since it uses less digits than its factorization.

27206009328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27206009328960 in words is "twenty-seven trillion, two hundred six billion, nine million, three hundred twenty-eight thousand, nine hundred sixty".