27766605877344 has 144 divisors (see below), whose sum is σ = 81892223129808. Its totient is φ = 9254806751232.

The previous prime is 27766605877301. The next prime is 27766605877357. The reversal of 27766605877344 is 44377850666772.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 103574644 + ... + 103842380.

It is an arithmetic number, because the mean of its divisors is an integer number (568695993957).

Almost surely, 2^{27766605877344} is an apocalyptic number.

27766605877344 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 27766605877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40946111564904).

27766605877344 is an abundant number, since it is smaller than the sum of its proper divisors (54125617252464).

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

27766605877344 is a wasteful number, since it uses less digits than its factorization.

27766605877344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281099 (or 281079 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 72.

The spelling of 27766605877344 in words is "twenty-seven trillion, seven hundred sixty-six billion, six hundred five million, eight hundred seventy-seven thousand, three hundred forty-four".