27789260488704 has 1125 divisors, whose sum is σ = 98818436829189. Its totient is φ = 7773219717120.

The previous prime is 27789260488687. The next prime is 27789260488739. The reversal of 27789260488704 is 40788406298772.

It is a happy number.

The square root of 27789260488704 is 5271552.

It is a perfect power (a square), and thus also a powerful number.

27789260488704 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 9 + 2 + 604 + 8 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4110837350400 + 23678423138304 = 2027520^2 + 4866048^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2137635422202 + ... + 2137635422214.

Almost surely, 2^{27789260488704} is an apocalyptic number.

27789260488704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27789260488704 is the 5271552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27789260488704

27789260488704 is an abundant number, since it is smaller than the sum of its proper divisors (71029176340485).

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

27789260488704 is an frugal number, since it uses more digits than its factorization.

27789260488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 27789260488704 in words is "twenty-seven trillion, seven hundred eighty-nine billion, two hundred sixty million, four hundred eighty-eight thousand, seven hundred four".