11566516550700 has 72 divisors (see below), whose sum is σ = 34619780598480. Its totient is φ = 2978045638400.

The previous prime is 11566516550683. The next prime is 11566516550707. The reversal of 11566516550700 is 705561566511.

It is a self number, because there is not a number n which added to its sum of digits gives 11566516550700.

It is not an unprimeable number, because it can be changed into a prime (11566516550707) 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 23 ways as a sum of consecutive naturals, for example, 664733631 + ... + 664751030.

It is an arithmetic number, because the mean of its divisors is an integer number (480830286090).

Almost surely, 2^{11566516550700} is an apocalyptic number.

11566516550700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11566516550700 is an abundant number, since it is smaller than the sum of its proper divisors (23053264047780).

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

11566516550700 is a wasteful number, since it uses less digits than its factorization.

11566516550700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329484707 (or 1329484700 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 48.

The spelling of 11566516550700 in words is "eleven trillion, five hundred sixty-six billion, five hundred sixteen million, five hundred fifty thousand, seven hundred".