2161879587072 has 288 divisors, whose sum is σ = 6704149939200. Its totient is φ = 686241497088.

The previous prime is 2161879587071. The next prime is 2161879587113. The reversal of 2161879587072 is 2707859781612.

2161879587072 is a `hidden beast` number, since 2 + 1 + 618 + 7 + 9 + 5 + 8 + 7 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2161879587071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14558833 + ... + 14706575.

It is an arithmetic number, because the mean of its divisors is an integer number (23278298400).

Almost surely, 2^{2161879587072} 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 2161879587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352074969600).

2161879587072 is an abundant number, since it is smaller than the sum of its proper divisors (4542270352128).

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

2161879587072 is a wasteful number, since it uses less digits than its factorization.

2161879587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147870 (or 147850 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 2161879587072 in words is "two trillion, one hundred sixty-one billion, eight hundred seventy-nine million, five hundred eighty-seven thousand, seventy-two".