27749018880 has 720 divisors, whose sum is σ = 112186166400. Its totient is φ = 6487326720.

The previous prime is 27749018867. The next prime is 27749018897. The reversal of 27749018880 is 8881094772.

It is a happy number.

27749018880 is a `hidden beast` number, since 2 + 77 + 490 + 1 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33073501 + ... + 33074339.

It is an arithmetic number, because the mean of its divisors is an integer number (155814120).

Almost surely, 2^27749018880 is an apocalyptic number.

27749018880 is a gapful number since it is divisible by the number (20) 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 27749018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56093083200).

27749018880 is an abundant number, since it is smaller than the sum of its proper divisors (84437147520).

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

27749018880 is a wasteful number, since it uses less digits than its factorization.

27749018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 27749018880 in words is "twenty-seven billion, seven hundred forty-nine million, eighteen thousand, eight hundred eighty".