36880084056311 has 16 divisors (see below), whose sum is σ = 37218600327168. Its totient is φ = 36543362112000.

The previous prime is 36880084056287. The next prime is 36880084056317. The reversal of 36880084056311 is 11365048008863.

36880084056311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36880084056311 - 2¹⁸ = 36880083794167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36880084056317) 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 15 ways as a sum of consecutive naturals, for example, 49850711 + ... + 50585111.

It is an arithmetic number, because the mean of its divisors is an integer number (2326162520448).

Almost surely, 2^{36880084056311} is an apocalyptic number.

36880084056311 is a deficient number, since it is larger than the sum of its proper divisors (338516270857).

36880084056311 is a wasteful number, since it uses less digits than its factorization.

36880084056311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735622.

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 36880084056311 in words is "thirty-six trillion, eight hundred eighty billion, eighty-four million, fifty-six thousand, three hundred eleven".