27789648445440 has 2880 divisors, whose sum is σ = 120705449356800. Its totient is φ = 6042930905088.

The previous prime is 27789648445333. The next prime is 27789648445499. The reversal of 27789648445440 is 4454484698772.

27789648445440 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 9 + 64 + 84 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×27789648445440² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312243240916 + ... + 312243241004.

It is an arithmetic number, because the mean of its divisors is an integer number (41911614360).

Almost surely, 2^{27789648445440} is an apocalyptic number.

27789648445440 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 27789648445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60352724678400).

27789648445440 is an abundant number, since it is smaller than the sum of its proper divisors (92915800911360).

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

27789648445440 is an equidigital number, since it uses as much as digits as its factorization.

27789648445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 27789648445440 in words is "twenty-seven trillion, seven hundred eighty-nine billion, six hundred forty-eight million, four hundred forty-five thousand, four hundred forty".