2132827167744 has 2112 divisors, whose sum is σ = 8497807718400. Its totient is φ = 509820272640.

The previous prime is 2132827167733. The next prime is 2132827167763. The reversal of 2132827167744 is 4477617282312.

It is a happy number.

2132827167744 is a `hidden beast` number, since 2 + 1 + 328 + 271 + 6 + 7 + 7 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 30039819229 + ... + 30039819299.

It is an arithmetic number, because the mean of its divisors is an integer number (4023583200).

Almost surely, 2^{2132827167744} is an apocalyptic number.

2132827167744 is a gapful number since it is divisible by the number (24) 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 2132827167744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248903859200).

2132827167744 is an abundant number, since it is smaller than the sum of its proper divisors (6364980550656).

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

2132827167744 is a wasteful number, since it uses less digits than its factorization.

2132827167744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 2132827167744 in words is "two trillion, one hundred thirty-two billion, eight hundred twenty-seven million, one hundred sixty-seven thousand, seven hundred forty-four".