27655540528128 has 176 divisors, whose sum is σ = 73827811408320. Its totient is φ = 9204056064000.

The previous prime is 27655540528111. The next prime is 27655540528151. The reversal of 27655540528128 is 82182504555672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8895315438 + ... + 8895318546.

Almost surely, 2^{27655540528128} 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 27655540528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36913905704160).

27655540528128 is an abundant number, since it is smaller than the sum of its proper divisors (46172270880192).

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

27655540528128 is a wasteful number, since it uses less digits than its factorization.

27655540528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 53760000, while the sum is 60.

The spelling of 27655540528128 in words is "twenty-seven trillion, six hundred fifty-five billion, five hundred forty million, five hundred twenty-eight thousand, one hundred twenty-eight".