27946259712 has 432 divisors, whose sum is σ = 98835085440. Its totient is φ = 7705829376.

The previous prime is 27946259701. The next prime is 27946259749. The reversal of 27946259712 is 21795264972.

27946259712 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 625 + 9 + 7 + 1 + 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 (54).

It is a congruent number.

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, 12627118 + ... + 12629330.

It is an arithmetic number, because the mean of its divisors is an integer number (228784920).

Almost surely, 2^27946259712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27946259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49417542720).

27946259712 is an abundant number, since it is smaller than the sum of its proper divisors (70888825728).

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

27946259712 is an equidigital number, since it uses as much as digits as its factorization.

27946259712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2254 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 27946259712 in words is "twenty-seven billion, nine hundred forty-six million, two hundred fifty-nine thousand, seven hundred twelve".