2166072517763 has 24 divisors (see below), whose sum is σ = 2749675896000. Its totient is φ = 1687299951120.

The previous prime is 2166072517753. The next prime is 2166072517781. The reversal of 2166072517763 is 3677152706612.

It is not a de Polignac number, because 2166072517763 - 2³⁸ = 1891194610819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2166072517703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009988 + ... + 2313486.

It is an arithmetic number, because the mean of its divisors is an integer number (114569829000).

Almost surely, 2^{2166072517763} is an apocalyptic number.

2166072517763 is a deficient number, since it is larger than the sum of its proper divisors (583603378237).

2166072517763 is a wasteful number, since it uses less digits than its factorization.

2166072517763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306607 (or 1306600 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 2166072517763 in words is "two trillion, one hundred sixty-six billion, seventy-two million, five hundred seventeen thousand, seven hundred sixty-three".