27985720101 has 8 divisors (see below), whose sum is σ = 37946739360. Its totient is φ = 18340923792.

The previous prime is 27985720067. The next prime is 27985720109. The reversal of 27985720101 is 10102758972.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 27985720101 - 2²³ = 27977331493 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27985720109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79055530 + ... + 79055883.

It is an arithmetic number, because the mean of its divisors is an integer number (4743342420).

Almost surely, 2^27985720101 is an apocalyptic number.

It is an amenable number.

27985720101 is a deficient number, since it is larger than the sum of its proper divisors (9961019259).

27985720101 is a wasteful number, since it uses less digits than its factorization.

27985720101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158111475.

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 27985720101 in words is "twenty-seven billion, nine hundred eighty-five million, seven hundred twenty thousand, one hundred one".