2127635649216 has 1008 divisors, whose sum is σ = 8062328881152. Its totient is φ = 524091617280.

The previous prime is 2127635649151. The next prime is 2127635649233. The reversal of 2127635649216 is 6129465367212.

It is a happy number.

2127635649216 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 63 + 564 + 9 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1425073366 + ... + 1425074858.

It is an arithmetic number, because the mean of its divisors is an integer number (7998342144).

Almost surely, 2^{2127635649216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127635649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031164440576).

2127635649216 is an abundant number, since it is smaller than the sum of its proper divisors (5934693231936).

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

2127635649216 is a wasteful number, since it uses less digits than its factorization.

2127635649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1666 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 2127635649216 in words is "two trillion, one hundred twenty-seven billion, six hundred thirty-five million, six hundred forty-nine thousand, two hundred sixteen".