36315215200 has 432 divisors, whose sum is σ = 104976874800. Its totient is φ = 12150476800.

The previous prime is 36315215197. The next prime is 36315215203. The reversal of 36315215200 is 251251363.

It is an interprime number because it is at equal distance from previous prime (36315215197) and next prime (36315215203).

It is a super-2 number, since 2×36315215200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36315215203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135000666 + ... + 135000934.

It is an arithmetic number, because the mean of its divisors is an integer number (243002025).

Almost surely, 2^36315215200 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 36315215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52488437400).

36315215200 is an abundant number, since it is smaller than the sum of its proper divisors (68661659600).

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

36315215200 is a wasteful number, since it uses less digits than its factorization.

36315215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 36315215200 its reverse (251251363), we get a palindrome (36566466563).

The spelling of 36315215200 in words is "thirty-six billion, three hundred fifteen million, two hundred fifteen thousand, two hundred".