11167941953680 has 80 divisors (see below), whose sum is σ = 26142586767360. Its totient is φ = 4436729796096.

The previous prime is 11167941953659. The next prime is 11167941953683. The reversal of 11167941953680 is 8635914976111.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11167941953683) 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 15 ways as a sum of consecutive naturals, for example, 27923277 + ... + 28320403.

It is an arithmetic number, because the mean of its divisors is an integer number (326782334592).

Almost surely, 2^{11167941953680} is an apocalyptic number.

11167941953680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11167941953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071293383680).

11167941953680 is an abundant number, since it is smaller than the sum of its proper divisors (14974644813680).

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

11167941953680 is a wasteful number, since it uses less digits than its factorization.

11167941953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399536 (or 399530 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 11167941953680 in words is "eleven trillion, one hundred sixty-seven billion, nine hundred forty-one million, nine hundred fifty-three thousand, six hundred eighty".