27661281912144 has 160 divisors (see below), whose sum is σ = 81117880841600. Its totient is φ = 9022280048640.

The previous prime is 27661281912113. The next prime is 27661281912179. The reversal of 27661281912144 is 44121918216672.

27661281912144 is a `hidden beast` number, since 2 + 7 + 6 + 61 + 281 + 91 + 214 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2366547 + ... + 7805325.

It is an arithmetic number, because the mean of its divisors is an integer number (506986755260).

Almost surely, 2^{27661281912144} is an apocalyptic number.

27661281912144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27661281912144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40558940420800).

27661281912144 is an abundant number, since it is smaller than the sum of its proper divisors (53456598929456).

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

27661281912144 is a wasteful number, since it uses less digits than its factorization.

27661281912144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439050 (or 5439038 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 27661281912144 in words is "twenty-seven trillion, six hundred sixty-one billion, two hundred eighty-one million, nine hundred twelve thousand, one hundred forty-four".