27768802750272 has 70 divisors (see below), whose sum is σ = 82315430544578. Its totient is φ = 9256267581696.

The previous prime is 27768802750259. The next prime is 27768802750277. The reversal of 27768802750272 is 27205720886772.

27768802750272 is a `hidden beast` number, since 27 + 7 + 6 + 8 + 80 + 27 + 502 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27730081956096 + 38720794176 = 5265936^2 + 196776^2 .

It is a super-2 number, since 2×27768802750272² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27768802750277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2678312983 + ... + 2678323350.

Almost surely, 2^{27768802750272} is an apocalyptic number.

It is an amenable number.

27768802750272 is an abundant number, since it is smaller than the sum of its proper divisors (54546627794306).

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

27768802750272 is an equidigital number, since it uses as much as digits as its factorization.

27768802750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356636357 (or 5356636338 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 27768802750272 in words is "twenty-seven trillion, seven hundred sixty-eight billion, eight hundred two million, seven hundred fifty thousand, two hundred seventy-two".