27135216348220 has 96 divisors (see below), whose sum is σ = 61383334440960. Its totient is φ = 10046654830080.

The previous prime is 27135216348211. The next prime is 27135216348223. The reversal of 27135216348220 is 2284361253172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27135216348223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286421779 + ... + 286516501.

It is an arithmetic number, because the mean of its divisors is an integer number (639409733760).

Almost surely, 2^{27135216348220} is an apocalyptic number.

27135216348220 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 27135216348220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30691667220480).

27135216348220 is an abundant number, since it is smaller than the sum of its proper divisors (34248118092740).

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

27135216348220 is a wasteful number, since it uses less digits than its factorization.

27135216348220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114875 (or 114873 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 27135216348220 in words is "twenty-seven trillion, one hundred thirty-five billion, two hundred sixteen million, three hundred forty-eight thousand, two hundred twenty".