36142325841600 has 1176 divisors, whose sum is σ = 146106784006320. Its totient is φ = 8722805760000.

The previous prime is 36142325841443. The next prime is 36142325841607. The reversal of 36142325841600 is 614852324163.

36142325841600 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 2 + 3 + 2 + 584 + 1 + 60 + 0 = 666.

36142325841600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (36142325841607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2938155450 + ... + 2938167750.

Almost surely, 2^{36142325841600} is an apocalyptic number.

36142325841600 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 36142325841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73053392003160).

36142325841600 is an abundant number, since it is smaller than the sum of its proper divisors (109964458164720).

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

36142325841600 is a wasteful number, since it uses less digits than its factorization.

36142325841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36142325841600 in words is "thirty-six trillion, one hundred forty-two billion, three hundred twenty-five million, eight hundred forty-one thousand, six hundred".