27055433655936 has 2304 divisors, whose sum is σ = 105210724469760. Its totient is φ = 6862675083264.

The previous prime is 27055433655917. The next prime is 27055433655947. The reversal of 27055433655936 is 63955633455072.

27055433655936 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 5 + 4 + 3 + 36 + 5 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49461487215 + ... + 49461487761.

It is an arithmetic number, because the mean of its divisors is an integer number (45664376940).

Almost surely, 2^{27055433655936} 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 27055433655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52605362234880).

27055433655936 is an abundant number, since it is smaller than the sum of its proper divisors (78155290813824).

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

27055433655936 is a wasteful number, since it uses less digits than its factorization.

27055433655936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 306180000, while the sum is 63.

The spelling of 27055433655936 in words is "twenty-seven trillion, fifty-five billion, four hundred thirty-three million, six hundred fifty-five thousand, nine hundred thirty-six".