27727964934912 has 432 divisors, whose sum is σ = 91461023821440. Its totient is φ = 8307986227200.

The previous prime is 27727964934799. The next prime is 27727964934931. The reversal of 27727964934912 is 21943946972772.

27727964934912 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 7 + 96 + 49 + 3 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 60673987 + ... + 61129277.

It is an arithmetic number, because the mean of its divisors is an integer number (211715332920).

Almost surely, 2^{27727964934912} is an apocalyptic number.

27727964934912 is a gapful number since it is divisible by the number (22) 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 27727964934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45730511910720).

27727964934912 is an abundant number, since it is smaller than the sum of its proper divisors (63733058886528).

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

27727964934912 is an equidigital number, since it uses as much as digits as its factorization.

27727964934912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455422 (or 455396 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 27727964934912 in words is "twenty-seven trillion, seven hundred twenty-seven billion, nine hundred sixty-four million, nine hundred thirty-four thousand, nine hundred twelve".