27055389081600 has 1224 divisors, whose sum is σ = 111305702913600. Its totient is φ = 6212970086400.

The previous prime is 27055389081563. The next prime is 27055389081631. The reversal of 27055389081600 is 618098355072.

27055389081600 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 538 + 90 + 8 + 16 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3081826011 + ... + 3081834789.

Almost surely, 2^{27055389081600} is an apocalyptic number.

27055389081600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27055389081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55652851456800).

27055389081600 is an abundant number, since it is smaller than the sum of its proper divisors (84250313832000).

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

27055389081600 is a wasteful number, since it uses less digits than its factorization.

27055389081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 27055389081600 in words is "twenty-seven trillion, fifty-five billion, three hundred eighty-nine million, eighty-one thousand, six hundred".