27807826101 has 16 divisors (see below), whose sum is σ = 41434279488. Its totient is φ = 16442172800.

The previous prime is 27807826051. The next prime is 27807826129. The reversal of 27807826101 is 10162870872.

It is a cyclic number.

It is not a de Polignac number, because 27807826101 - 2⁹ = 27807825589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27807826171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10275006 + ... + 10277711.

It is an arithmetic number, because the mean of its divisors is an integer number (2589642468).

Almost surely, 2^27807826101 is an apocalyptic number.

It is an amenable number.

27807826101 is a deficient number, since it is larger than the sum of its proper divisors (13626453387).

27807826101 is a wasteful number, since it uses less digits than its factorization.

27807826101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20552772.

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 27807826101 in words is "twenty-seven billion, eight hundred seven million, eight hundred twenty-six thousand, one hundred one".