27770805780480 has 1536 divisors, whose sum is σ = 114841680145920. Its totient is φ = 6306398208000.

The previous prime is 27770805780457. The next prime is 27770805780563. The reversal of 27770805780480 is 8408750807772.

27770805780480 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 0 + 80 + 5 + 78 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69951651642 + ... + 69951652038.

It is an arithmetic number, because the mean of its divisors is an integer number (74766718845).

Almost surely, 2^{27770805780480} is an apocalyptic number.

27770805780480 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 27770805780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57420840072960).

27770805780480 is an abundant number, since it is smaller than the sum of its proper divisors (87070874365440).

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

27770805780480 is an frugal number, since it uses more digits than its factorization.

27770805780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 27770805780480 in words is "twenty-seven trillion, seven hundred seventy billion, eight hundred five million, seven hundred eighty thousand, four hundred eighty".