27110000001172 has 48 divisors (see below), whose sum is σ = 52704006082560. Its totient is φ = 12098334063200.

The previous prime is 27110000001079. The next prime is 27110000001181.

27110000001172 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17408128 + ... + 18901399.

It is an arithmetic number, because the mean of its divisors is an integer number (1098000126720).

Almost surely, 2^{27110000001172} is an apocalyptic number.

27110000001172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27110000001172 is a deficient number, since it is larger than the sum of its proper divisors (25594006081388).

27110000001172 is a wasteful number, since it uses less digits than its factorization.

27110000001172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36309852 (or 36309850 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

It can be divided in two parts, 2711000000 and 1172, that added together give a palindrome (2711001172).

The spelling of 27110000001172 in words is "twenty-seven trillion, one hundred ten billion, one thousand, one hundred seventy-two".