2127632909328 has 160 divisors (see below), whose sum is σ = 6273720777600. Its totient is φ = 689870421504.

The previous prime is 2127632909327. The next prime is 2127632909333. The reversal of 2127632909328 is 8239092367212.

2127632909328 is a `hidden beast` number, since 2 + 1 + 27 + 6 + 3 + 290 + 9 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2127632909327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74199378 + ... + 74228046.

It is an arithmetic number, because the mean of its divisors is an integer number (39210754860).

Almost surely, 2^{2127632909328} 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 2127632909328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136860388800).

2127632909328 is an abundant number, since it is smaller than the sum of its proper divisors (4146087868272).

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

2127632909328 is a wasteful number, since it uses less digits than its factorization.

2127632909328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33366 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2127632909328 in words is "two trillion, one hundred twenty-seven billion, six hundred thirty-two million, nine hundred nine thousand, three hundred twenty-eight".