27144633644172 has 96 divisors (see below), whose sum is σ = 76780871650560. Its totient is φ = 8224771155840.

The previous prime is 27144633644153. The next prime is 27144633644201.

It is a happy number.

27144633644172 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 463 + 3 + 6 + 4 + 4 + 172 = 666.

27144633644172 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27144633644172² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9995283 + ... + 12417525.

It is an arithmetic number, because the mean of its divisors is an integer number (799800746360).

Almost surely, 2^{27144633644172} is an apocalyptic number.

27144633644172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27144633644172 is an abundant number, since it is smaller than the sum of its proper divisors (49636238006388).

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

27144633644172 is a wasteful number, since it uses less digits than its factorization.

27144633644172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431700 (or 2431692 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 27144633644172 in words is "twenty-seven trillion, one hundred forty-four billion, six hundred thirty-three million, six hundred forty-four thousand, one hundred seventy-two".