2127393669888 has 288 divisors, whose sum is σ = 6491262597120. Its totient is φ = 686878064640.

The previous prime is 2127393669859. The next prime is 2127393669901. The reversal of 2127393669888 is 8889663937212.

2127393669888 is a `hidden beast` number, since 2 + 12 + 7 + 393 + 66 + 98 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31478053 + ... + 31545563.

It is an arithmetic number, because the mean of its divisors is an integer number (22539106240).

Almost surely, 2^{2127393669888} 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 2127393669888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245631298560).

2127393669888 is an abundant number, since it is smaller than the sum of its proper divisors (4363868927232).

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

2127393669888 is an equidigital number, since it uses as much as digits as its factorization.

2127393669888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67680 (or 67660 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 2127393669888 in words is "two trillion, one hundred twenty-seven billion, three hundred ninety-three million, six hundred sixty-nine thousand, eight hundred eighty-eight".