11182855680 has 640 divisors, whose sum is σ = 43557212160. Its totient is φ = 2707292160.

The previous prime is 11182855679. The next prime is 11182855721. The reversal of 11182855680 is 8655828111.

11182855680 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 2 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11182855680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36426087 + ... + 36426393.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 2^11182855680 is an apocalyptic number.

11182855680 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 11182855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778606080).

11182855680 is an abundant number, since it is smaller than the sum of its proper divisors (32374356480).

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

11182855680 is a wasteful number, since it uses less digits than its factorization.

11182855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 11182855680 in words is "eleven billion, one hundred eighty-two million, eight hundred fifty-five thousand, six hundred eighty".