11166465550400 has 84 divisors (see below), whose sum is σ = 27477558414852. Its totient is φ = 4466411612160.

The previous prime is 11166465550379. The next prime is 11166465550403. The reversal of 11166465550400 is 405556466111.

It can be written as a sum of positive squares in 6 ways, for example, as 5250440635456 + 5916024914944 = 2291384^2 + 2432288^2 .

It is not an unprimeable number, because it can be changed into a prime (11166465550403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45594674 + ... + 45838926.

It is an arithmetic number, because the mean of its divisors is an integer number (327113790653).

Almost surely, 2^{11166465550400} is an apocalyptic number.

11166465550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11166465550400 is an abundant number, since it is smaller than the sum of its proper divisors (16311092864452).

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

11166465550400 is a wasteful number, since it uses less digits than its factorization.

11166465550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272848 (or 272833 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 11166465550400 in words is "eleven trillion, one hundred sixty-six billion, four hundred sixty-five million, five hundred fifty thousand, four hundred".