36118118400 has 1440 divisors, whose sum is σ = 163824514560. Its totient is φ = 6794772480.

The previous prime is 36118118369. The next prime is 36118118401. The reversal of 36118118400 is 481181163.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36118118401) 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 95 ways as a sum of consecutive naturals, for example, 1900953591 + ... + 1900953609.

It is an arithmetic number, because the mean of its divisors is an integer number (113767024).

Almost surely, 2^36118118400 is an apocalyptic number.

36118118400 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 36118118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81912257280).

36118118400 is an abundant number, since it is smaller than the sum of its proper divisors (127706396160).

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

36118118400 is a wasteful number, since it uses less digits than its factorization.

36118118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

Adding to 36118118400 its reverse (481181163), we get a palindrome (36599299563).

The spelling of 36118118400 in words is "thirty-six billion, one hundred eighteen million, one hundred eighteen thousand, four hundred".