36165219552 has 1296 divisors, whose sum is σ = 149813838720. Its totient is φ = 8375685120.

The previous prime is 36165219521. The next prime is 36165219553. The reversal of 36165219552 is 25591256163.

36165219552 is a `hidden beast` number, since 3 + 616 + 5 + 21 + 9 + 5 + 5 + 2 = 666.

36165219552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a junction number, because it is equal to n+sod(n) for n = 36165219498 and 36165219507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36165219553) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1903432599 + ... + 1903432617.

Almost surely, 2^36165219552 is an apocalyptic number.

36165219552 is a gapful number since it is divisible by the number (32) 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 36165219552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74906919360).

36165219552 is an abundant number, since it is smaller than the sum of its proper divisors (113648619168).

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

36165219552 is a wasteful number, since it uses less digits than its factorization.

36165219552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 36165219552 in words is "thirty-six billion, one hundred sixty-five million, two hundred nineteen thousand, five hundred fifty-two".