185215008807 has 40 divisors (see below), whose sum is σ = 280399708160. Its totient is φ = 121825172880.

The previous prime is 185215008779. The next prime is 185215008863. The reversal of 185215008807 is 708800512581.

185215008807 is a `hidden beast` number, since 18 + 52 + 1 + 500 + 8 + 80 + 7 = 666.

185215008807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 185215008807 - 2¹⁵ = 185214976039 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185215008107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2219994 + ... + 2301912.

It is an arithmetic number, because the mean of its divisors is an integer number (7009992704).

Almost surely, 2^185215008807 is an apocalyptic number.

185215008807 is a deficient number, since it is larger than the sum of its proper divisors (95184699353).

185215008807 is a wasteful number, since it uses less digits than its factorization.

185215008807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82305 (or 82296 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 185215008807 in words is "one hundred eighty-five billion, two hundred fifteen million, eight thousand, eight hundred seven".