27363013460000 has 180 divisors, whose sum is σ = 67724008316118. Its totient is φ = 10879443456000.

The previous prime is 27363013459981. The next prime is 27363013460011. The reversal of 27363013460000 is 6431036372.

It can be written as a sum of positive squares in 5 ways, for example, as 2068430745616 + 25294582714384 = 1438204^2 + 5029372^2 .

It is a super-2 number, since 2×27363013460000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 557755472 + ... + 557804528.

Almost surely, 2^{27363013460000} is an apocalyptic number.

27363013460000 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 27363013460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33862004158059).

27363013460000 is an abundant number, since it is smaller than the sum of its proper divisors (40360994856118).

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

27363013460000 is an frugal number, since it uses more digits than its factorization.

27363013460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49421 (or 49231 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

Adding to 27363013460000 its reverse (6431036372), we get a palindrome (27369444496372).

The spelling of 27363013460000 in words is "twenty-seven trillion, three hundred sixty-three billion, thirteen million, four hundred sixty thousand".