36126616000 has 112 divisors (see below), whose sum is σ = 89583841152. Its totient is φ = 14431872000.

The previous prime is 36126615997. The next prime is 36126616013. The reversal of 36126616000 is 61662163.

It is a super-2 number, since 2×36126616000² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7285522 + ... + 7290478.

Almost surely, 2^36126616000 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 36126616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44791920576).

36126616000 is an abundant number, since it is smaller than the sum of its proper divisors (53457225152).

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

36126616000 is an equidigital number, since it uses as much as digits as its factorization.

36126616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 36126616000 in words is "thirty-six billion, one hundred twenty-six million, six hundred sixteen thousand".