27705440880 has 480 divisors, whose sum is σ = 104722672320. Its totient is φ = 6812522496.

The previous prime is 27705440831. The next prime is 27705440911. The reversal of 27705440880 is 8804450772.

27705440880 is a `hidden beast` number, since 27 + 7 + 0 + 544 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29567772 + ... + 29568708.

It is an arithmetic number, because the mean of its divisors is an integer number (218172234).

Almost surely, 2^27705440880 is an apocalyptic number.

27705440880 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 27705440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52361336160).

27705440880 is an abundant number, since it is smaller than the sum of its proper divisors (77017231440).

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

27705440880 is an equidigital number, since it uses as much as digits as its factorization.

27705440880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 27705440880 in words is "twenty-seven billion, seven hundred five million, four hundred forty thousand, eight hundred eighty".