8027650005507 has 48 divisors (see below), whose sum is σ = 13201043102208. Its totient is φ = 4653206384640.

The previous prime is 8027650005481. The next prime is 8027650005527. The reversal of 8027650005507 is 7055000567208.

8027650005507 is a `hidden beast` number, since 80 + 2 + 7 + 65 + 0 + 0 + 0 + 5 + 507 = 666.

It is not a de Polignac number, because 8027650005507 - 2²⁰ = 8027648956931 is a prime.

It is a super-2 number, since 2×8027650005507² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8027650005527) 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 47 ways as a sum of consecutive naturals, for example, 21383938 + ... + 21756104.

It is an arithmetic number, because the mean of its divisors is an integer number (275021731296).

Almost surely, 2^{8027650005507} is an apocalyptic number.

8027650005507 is a deficient number, since it is larger than the sum of its proper divisors (5173393096701).

8027650005507 is a wasteful number, since it uses less digits than its factorization.

8027650005507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381680 (or 381677 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 8027650005507 in words is "eight trillion, twenty-seven billion, six hundred fifty million, five thousand, five hundred seven".