27975772344768 has 224 divisors, whose sum is σ = 80559221924160. Its totient is φ = 8546683944960.

The previous prime is 27975772344719. The next prime is 27975772344769. The reversal of 27975772344768 is 86744327757972.

It is a junction number, because it is equal to n+sod(n) for n = 27975772344693 and 27975772344702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27975772344769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6790630 + ... + 10102682.

It is an arithmetic number, because the mean of its divisors is an integer number (359639383590).

Almost surely, 2^{27975772344768} 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 27975772344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279610962080).

27975772344768 is an abundant number, since it is smaller than the sum of its proper divisors (52583449579392).

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

27975772344768 is a wasteful number, since it uses less digits than its factorization.

27975772344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312175 (or 3312165 counting only the distinct ones).

The product of its digits is 6970199040, while the sum is 78.

The spelling of 27975772344768 in words is "twenty-seven trillion, nine hundred seventy-five billion, seven hundred seventy-two million, three hundred forty-four thousand, seven hundred sixty-eight".