27213145645140 has 288 divisors, whose sum is σ = 101602511861760. Its totient is φ = 5741292192768.

The previous prime is 27213145645093. The next prime is 27213145645157. The reversal of 27213145645140 is 4154654131272.

It is a happy number.

27213145645140 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 31 + 4 + 564 + 51 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293303037 + ... + 293395803.

It is an arithmetic number, because the mean of its divisors is an integer number (352786499520).

Almost surely, 2^{27213145645140} is an apocalyptic number.

27213145645140 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 27213145645140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50801255930880).

27213145645140 is an abundant number, since it is smaller than the sum of its proper divisors (74389366216620).

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

27213145645140 is a wasteful number, since it uses less digits than its factorization.

27213145645140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110711 (or 110706 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 27213145645140 in words is "twenty-seven trillion, two hundred thirteen billion, one hundred forty-five million, six hundred forty-five thousand, one hundred forty".