36180381601872 has 120 divisors (see below), whose sum is σ = 102099432616896. Its totient is φ = 11959710110208.

The previous prime is 36180381601853. The next prime is 36180381601883. The reversal of 36180381601872 is 27810618308163.

It is a happy number.

36180381601872 is a `hidden beast` number, since 3 + 6 + 1 + 80 + 381 + 6 + 0 + 187 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18128703 + ... + 20025249.

Almost surely, 2^{36180381601872} 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 36180381601872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51049716308448).

36180381601872 is an abundant number, since it is smaller than the sum of its proper divisors (65919051015024).

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

36180381601872 is a wasteful number, since it uses less digits than its factorization.

36180381601872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897665 (or 1897656 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 36180381601872 in words is "thirty-six trillion, one hundred eighty billion, three hundred eighty-one million, six hundred one thousand, eight hundred seventy-two".