11166106364320 has 48 divisors (see below), whose sum is σ = 26386908377760. Its totient is φ = 4465260392704.

The previous prime is 11166106364291. The next prime is 11166106364341. The reversal of 11166106364320 is 2346360166111.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8629042 + ... + 9838321.

It is an arithmetic number, because the mean of its divisors is an integer number (549727257870).

Almost surely, 2^{11166106364320} is an apocalyptic number.

11166106364320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11166106364320 is an abundant number, since it is smaller than the sum of its proper divisors (15220802013440).

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

11166106364320 is a wasteful number, since it uses less digits than its factorization.

11166106364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18471157 (or 18471149 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 11166106364320 in words is "eleven trillion, one hundred sixty-six billion, one hundred six million, three hundred sixty-four thousand, three hundred twenty".