27809714922768 has 160 divisors (see below), whose sum is σ = 83130951600000. Its totient is φ = 8890183669248.

The previous prime is 27809714922761. The next prime is 27809714922799. The reversal of 27809714922768 is 86722941790872.

27809714922768 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 9 + 71 + 492 + 2 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27809714922696 and 27809714922705.

It is not an unprimeable number, because it can be changed into a prime (27809714922761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5582338 + ... + 9315681.

It is an arithmetic number, because the mean of its divisors is an integer number (519568447500).

Almost surely, 2^{27809714922768} is an apocalyptic number.

It is an amenable number.

27809714922768 is an abundant number, since it is smaller than the sum of its proper divisors (55321236677232).

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

27809714922768 is a wasteful number, since it uses less digits than its factorization.

27809714922768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898214 (or 14898202 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 27809714922768 in words is "twenty-seven trillion, eight hundred nine billion, seven hundred fourteen million, nine hundred twenty-two thousand, seven hundred sixty-eight".