36138228800 has 84 divisors (see below), whose sum is σ = 89207963316. Its totient is φ = 14408908800.

The previous prime is 36138228793. The next prime is 36138228811. The reversal of 36138228800 is 882283163.

It can be written as a sum of positive squares in 6 ways, for example, as 2505603136 + 33632625664 = 50056^2 + 183392^2 .

It is a super-2 number, since 2×36138228800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464720 + ... + 536880.

Almost surely, 2^36138228800 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 36138228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44603981658).

36138228800 is an abundant number, since it is smaller than the sum of its proper divisors (53069734516).

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

36138228800 is a wasteful number, since it uses less digits than its factorization.

36138228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72496 (or 72481 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 36138228800 in words is "thirty-six billion, one hundred thirty-eight million, two hundred twenty-eight thousand, eight hundred".