36360000000000 has 858 divisors, whose sum is σ = 132583810761246. Its totient is φ = 9600000000000.

The previous prime is 36359999999989. The next prime is 36360000000001. The reversal of 36360000000000 is 6363.

36360000000000 is a `hidden beast` number, since 3 + 63 + 600 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 11 ways, for example, as 20515405824 + 36339484594176 = 143232^2 + 6028224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36360000000001) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 359999999950 + ... + 360000000050.

Almost surely, 2^{36360000000000} is an apocalyptic number.

36360000000000 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 36360000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66291905380623).

36360000000000 is an abundant number, since it is smaller than the sum of its proper divisors (96223810761246).

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

36360000000000 is an frugal number, since it uses more digits than its factorization.

36360000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 36360000000000 its reverse (6363), we get a palindrome (36360000006363).

It can be divided in two parts, 36 and 360000000000, that multiplied together give a square (12960000000000 = 3600000²).

The spelling of 36360000000000 in words is "thirty-six trillion, three hundred sixty billion", and thus it is an aban number.