36541185966 has 64 divisors (see below), whose sum is σ = 85548960000. Its totient is φ = 11529534816.

The previous prime is 36541185911. The next prime is 36541185997. The reversal of 36541185966 is 66958114563.

36541185966 is a `hidden beast` number, since 3 + 6 + 5 + 41 + 1 + 8 + 596 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246465 + ... + 1275443.

It is an arithmetic number, because the mean of its divisors is an integer number (1336702500).

Almost surely, 2^36541185966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36541185966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42774480000).

36541185966 is an abundant number, since it is smaller than the sum of its proper divisors (49007774034).

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

36541185966 is a wasteful number, since it uses less digits than its factorization.

36541185966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30238 (or 30232 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 36541185966 in words is "thirty-six billion, five hundred forty-one million, one hundred eighty-five thousand, nine hundred sixty-six".