2165263535142 has 160 divisors (see below), whose sum is σ = 4934876506560. Its totient is φ = 709514588160.

The previous prime is 2165263535111. The next prime is 2165263535153. The reversal of 2165263535142 is 2415353625612.

2165263535142 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 2 + 635 + 3 + 5 + 1 + 4 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1938462768 + ... + 1938463884.

It is an arithmetic number, because the mean of its divisors is an integer number (30842978166).

Almost surely, 2^{2165263535142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165263535142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467438253280).

2165263535142 is an abundant number, since it is smaller than the sum of its proper divisors (2769612971418).

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

2165263535142 is a wasteful number, since it uses less digits than its factorization.

2165263535142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1939 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 2165263535142 in words is "two trillion, one hundred sixty-five billion, two hundred sixty-three million, five hundred thirty-five thousand, one hundred forty-two".