36206054208 has 168 divisors, whose sum is σ = 104588340480. Its totient is φ = 11974932480.

The previous prime is 36206054201. The next prime is 36206054237. The reversal of 36206054208 is 80245060263.

36206054208 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 605 + 42 + 0 + 8 = 666.

It is a super-2 number, since 2×36206054208² (a number of 22 digits) contains 22 as substring.

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 (36206054201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75586513 + ... + 75586991.

Almost surely, 2^36206054208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36206054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52294170240).

36206054208 is an abundant number, since it is smaller than the sum of its proper divisors (68382286272).

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

36206054208 is a wasteful number, since it uses less digits than its factorization.

36206054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36206054208 in words is "thirty-six billion, two hundred six million, fifty-four thousand, two hundred eight".