27145633654172 has 48 divisors (see below), whose sum is σ = 52163465840640. Its totient is φ = 12258060043200.

The previous prime is 27145633654159. The next prime is 27145633654267.

It is a happy number.

27145633654172 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11875022 + ... + 13975242.

It is an arithmetic number, because the mean of its divisors is an integer number (1086738871680).

Almost surely, 2^{27145633654172} is an apocalyptic number.

27145633654172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27145633654172 is a deficient number, since it is larger than the sum of its proper divisors (25017832186468).

27145633654172 is a wasteful number, since it uses less digits than its factorization.

27145633654172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102162 (or 2102160 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The spelling of 27145633654172 in words is "twenty-seven trillion, one hundred forty-five billion, six hundred thirty-three million, six hundred fifty-four thousand, one hundred seventy-two".