2727991126080 has 2016 divisors, whose sum is σ = 11852974373760. Its totient is φ = 567540449280.

The previous prime is 2727991126073. The next prime is 2727991126087. The reversal of 2727991126080 is 806211997272.

2727991126080 is a `hidden beast` number, since 2 + 7 + 27 + 9 + 9 + 1 + 1 + 2 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2727991126073) and next prime (2727991126087).

It is not an unprimeable number, because it can be changed into a prime (2727991126087) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 8605650082 + ... + 8605650398.

Almost surely, 2^{2727991126080} is an apocalyptic number.

2727991126080 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 2727991126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926487186880).

2727991126080 is an abundant number, since it is smaller than the sum of its proper divisors (9124983247680).

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

2727991126080 is a wasteful number, since it uses less digits than its factorization.

2727991126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 2727991126080 in words is "two trillion, seven hundred twenty-seven billion, nine hundred ninety-one million, one hundred twenty-six thousand, eighty".