36055111680 has 288 divisors, whose sum is σ = 142814599200. Its totient is φ = 8241020928.

The previous prime is 36055111663. The next prime is 36055111681. The reversal of 36055111680 is 8611155063.

36055111680 is a `hidden beast` number, since 3 + 60 + 5 + 511 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36055111681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617176 + ... + 673064.

It is an arithmetic number, because the mean of its divisors is an integer number (495884025).

Almost surely, 2^36055111680 is an apocalyptic number.

36055111680 is a gapful number since it is divisible by the number (30) 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 36055111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71407299600).

36055111680 is an abundant number, since it is smaller than the sum of its proper divisors (106759487520).

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

36055111680 is a wasteful number, since it uses less digits than its factorization.

36055111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55929 (or 55906 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 36055111680 in words is "thirty-six billion, fifty-five million, one hundred eleven thousand, six hundred eighty".