36165766585890 has 128 divisors (see below), whose sum is σ = 90111326280192. Its totient is φ = 9281873203200.

The previous prime is 36165766585889. The next prime is 36165766585937. The reversal of 36165766585890 is 9858566756163.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119021194 + ... + 119324666.

It is an arithmetic number, because the mean of its divisors is an integer number (703994736564).

Almost surely, 2^{36165766585890} is an apocalyptic number.

36165766585890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36165766585890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45055663140096).

36165766585890 is an abundant number, since it is smaller than the sum of its proper divisors (53945559694302).

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

36165766585890 is a wasteful number, since it uses less digits than its factorization.

36165766585890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304684.

The product of its (nonzero) digits is 1959552000, while the sum is 75.

The spelling of 36165766585890 in words is "thirty-six trillion, one hundred sixty-five billion, seven hundred sixty-six million, five hundred eighty-five thousand, eight hundred ninety".