36216483609600 has 4752 divisors, whose sum is σ = 172054050648480. Its totient is φ = 7491236659200.

The previous prime is 36216483609569. The next prime is 36216483609623. The reversal of 36216483609600 is 690638461263.

36216483609600 is a `hidden beast` number, since 3 + 6 + 2 + 16 + 483 + 60 + 96 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 150275865480 + ... + 150275865720.

It is an arithmetic number, because the mean of its divisors is an integer number (36206660490).

Almost surely, 2^{36216483609600} is an apocalyptic number.

36216483609600 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 36216483609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86027025324240).

36216483609600 is an abundant number, since it is smaller than the sum of its proper divisors (135837567038880).

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

36216483609600 is a wasteful number, since it uses less digits than its factorization.

36216483609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 36216483609600 in words is "thirty-six trillion, two hundred sixteen billion, four hundred eighty-three million, six hundred nine thousand, six hundred".