11102180544 has 336 divisors, whose sum is σ = 40398435840. Its totient is φ = 2927508480.

The previous prime is 11102180483. The next prime is 11102180563. The reversal of 11102180544 is 44508120111.

It is a happy number.

11102180544 is a `hidden beast` number, since 1 + 1 + 102 + 18 + 0 + 544 = 666.

11102180544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2041509 + ... + 2046939.

It is an arithmetic number, because the mean of its divisors is an integer number (120233440).

Almost surely, 2^11102180544 is an apocalyptic number.

11102180544 is a gapful number since it is divisible by the number (14) 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 11102180544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20199217920).

11102180544 is an abundant number, since it is smaller than the sum of its proper divisors (29296255296).

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

11102180544 is a wasteful number, since it uses less digits than its factorization.

11102180544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 11102180544 in words is "eleven billion, one hundred two million, one hundred eighty thousand, five hundred forty-four".