27751338037728 has 144 divisors (see below), whose sum is σ = 79371078958080. Its totient is φ = 9197338422528.

The previous prime is 27751338037721. The next prime is 27751338037739. The reversal of 27751338037728 is 82773083315772.

27751338037728 is a `hidden beast` number, since 2 + 7 + 7 + 513 + 3 + 80 + 37 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27751338037721) 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, 362217601 + ... + 362294207.

It is an arithmetic number, because the mean of its divisors is an integer number (551188048320).

Almost surely, 2^{27751338037728} 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 27751338037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39685539479040).

27751338037728 is an abundant number, since it is smaller than the sum of its proper divisors (51619740920352).

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

27751338037728 is a wasteful number, since it uses less digits than its factorization.

27751338037728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83829 (or 83818 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 27751338037728 in words is "twenty-seven trillion, seven hundred fifty-one billion, three hundred thirty-eight million, thirty-seven thousand, seven hundred twenty-eight".