2027188800000 has 3240 divisors, whose sum is σ = 9753257165652. Its totient is φ = 402554880000.

The previous prime is 2027188799953. The next prime is 2027188800061. The reversal of 2027188800000 is 88817202.

It can be written as a sum of positive squares in 18 ways, for example, as 1956551917824 + 70636882176 = 1398768^2 + 265776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 119246399992 + ... + 119246400008.

Almost surely, 2^{2027188800000} is an apocalyptic number.

2027188800000 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 2027188800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876628582826).

2027188800000 is an abundant number, since it is smaller than the sum of its proper divisors (7726068365652).

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

2027188800000 is an equidigital number, since it uses as much as digits as its factorization.

2027188800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 2027188800000 in words is "two trillion, twenty-seven billion, one hundred eighty-eight million, eight hundred thousand".