8009577704095 has 16 divisors (see below), whose sum is σ = 10518980060160. Its totient is φ = 5806417031200.

The previous prime is 8009577704087. The next prime is 8009577704189. The reversal of 8009577704095 is 5904077759008.

It is not a de Polignac number, because 8009577704095 - 2³ = 8009577704087 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 234112615 + ... + 234146824.

It is an arithmetic number, because the mean of its divisors is an integer number (657436253760).

Almost surely, 2^{8009577704095} is an apocalyptic number.

8009577704095 is a deficient number, since it is larger than the sum of its proper divisors (2509402356065).

8009577704095 is a wasteful number, since it uses less digits than its factorization.

8009577704095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468259766.

The product of its (nonzero) digits is 22226400, while the sum is 61.

The spelling of 8009577704095 in words is "eight trillion, nine billion, five hundred seventy-seven million, seven hundred four thousand, ninety-five".