27855387828576 has 3072 divisors, whose sum is σ = 111978381312000. Its totient is φ = 6748697088000.

The previous prime is 27855387828539. The next prime is 27855387828577. The reversal of 27855387828576 is 67582878355872.

27855387828576 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 5 + 38 + 7 + 8 + 2 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 27855387828495 and 27855387828504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27855387828577) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 335607082231 + ... + 335607082313.

It is an arithmetic number, because the mean of its divisors is an integer number (36451296000).

Almost surely, 2^{27855387828576} 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 27855387828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55989190656000).

27855387828576 is an abundant number, since it is smaller than the sum of its proper divisors (84122993483424).

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

27855387828576 is an equidigital number, since it uses as much as digits as its factorization.

27855387828576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its digits is 12644352000, while the sum is 81.

The spelling of 27855387828576 in words is "twenty-seven trillion, eight hundred fifty-five billion, three hundred eighty-seven million, eight hundred twenty-eight thousand, five hundred seventy-six".