2727681732300 has 288 divisors, whose sum is σ = 9562130206720. Its totient is φ = 587050675200.

The previous prime is 2727681732287. The next prime is 2727681732317. The reversal of 2727681732300 is 32371867272.

It is a self number, because there is not a number n which added to its sum of digits gives 2727681732300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1842486 + ... + 2974914.

Almost surely, 2^{2727681732300} is an apocalyptic number.

2727681732300 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 2727681732300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781065103360).

2727681732300 is an abundant number, since it is smaller than the sum of its proper divisors (6834448474420).

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

2727681732300 is a wasteful number, since it uses less digits than its factorization.

2727681732300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132521 (or 1132514 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 2727681732300 in words is "two trillion, seven hundred twenty-seven billion, six hundred eighty-one million, seven hundred thirty-two thousand, three hundred".