36288000000000 has 1600 divisors, whose sum is σ = 154877620859280. Its totient is φ = 8294400000000.

The previous prime is 36287999999987. The next prime is 36288000000011. The reversal of 36288000000000 is 88263.

It is a tau number, because it is divible by the number of its divisors (1600).

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 (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5183999999997 + ... + 5184000000003.

Almost surely, 2^{36288000000000} is an apocalyptic number.

36288000000000 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 36288000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77438810429640).

36288000000000 is an abundant number, since it is smaller than the sum of its proper divisors (118589620859280).

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

36288000000000 is an frugal number, since it uses more digits than its factorization.

36288000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 36288000000000 its reverse (88263), we get a palindrome (36288000088263).

The spelling of 36288000000000 in words is "thirty-six trillion, two hundred eighty-eight billion", and thus it is an aban number.