27714935124672 has 168 divisors, whose sum is σ = 75942123277248. Its totient is φ = 8920094077440.

The previous prime is 27714935124661. The next prime is 27714935124673. The reversal of 27714935124672 is 27642153941772.

It is not an unprimeable number, because it can be changed into a prime (27714935124673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81569283 + ... + 81908349.

Almost surely, 2^{27714935124672} 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 27714935124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37971061638624).

27714935124672 is an abundant number, since it is smaller than the sum of its proper divisors (48227188152576).

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

27714935124672 is a wasteful number, since it uses less digits than its factorization.

27714935124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339587 (or 339546 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 60.

The spelling of 27714935124672 in words is "twenty-seven trillion, seven hundred fourteen billion, nine hundred thirty-five million, one hundred twenty-four thousand, six hundred seventy-two".