27118138114800 has 720 divisors, whose sum is σ = 97741394150400. Its totient is φ = 6957475123200.

The previous prime is 27118138114783. The next prime is 27118138114801. The reversal of 27118138114800 is 841183181172.

27118138114800 is a `hidden beast` number, since 2 + 7 + 1 + 181 + 381 + 14 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27118138114801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8073275521 + ... + 8073278879.

It is an arithmetic number, because the mean of its divisors is an integer number (135751936320).

Almost surely, 2^{27118138114800} is an apocalyptic number.

27118138114800 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 27118138114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48870697075200).

27118138114800 is an abundant number, since it is smaller than the sum of its proper divisors (70623256035600).

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

27118138114800 is a wasteful number, since it uses less digits than its factorization.

27118138114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 27118138114800 in words is "twenty-seven trillion, one hundred eighteen billion, one hundred thirty-eight million, one hundred fourteen thousand, eight hundred".