36161305200 has 480 divisors, whose sum is σ = 137871979200. Its totient is φ = 8969748480.

The previous prime is 36161305171. The next prime is 36161305247. The reversal of 36161305200 is 250316163.

36161305200 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 130 + 520 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16339294 + ... + 16341506.

It is an arithmetic number, because the mean of its divisors is an integer number (287233290).

Almost surely, 2^36161305200 is an apocalyptic number.

36161305200 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 36161305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68935989600).

36161305200 is an abundant number, since it is smaller than the sum of its proper divisors (101710674000).

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

36161305200 is a wasteful number, since it uses less digits than its factorization.

36161305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 36161305200 in words is "thirty-six billion, one hundred sixty-one million, three hundred five thousand, two hundred".