27748211309280 has 864 divisors, whose sum is σ = 120401962742880. Its totient is φ = 5754452336640.

The previous prime is 27748211309263. The next prime is 27748211309317. The reversal of 27748211309280 is 8290311284772.

27748211309280 is a `hidden beast` number, since 2 + 7 + 7 + 48 + 2 + 11 + 309 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 395030322 + ... + 395100558.

It is an arithmetic number, because the mean of its divisors is an integer number (139354123545).

Almost surely, 2^{27748211309280} is an apocalyptic number.

27748211309280 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 27748211309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60200981371440).

27748211309280 is an abundant number, since it is smaller than the sum of its proper divisors (92653751433600).

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

27748211309280 is a wasteful number, since it uses less digits than its factorization.

27748211309280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70792 (or 70774 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

It can be divided in two parts, 2774821 and 1309280, that added together give a 5-th power (4084101 = 21⁵).

The spelling of 27748211309280 in words is "twenty-seven trillion, seven hundred forty-eight billion, two hundred eleven million, three hundred nine thousand, two hundred eighty".