8505729268977 has 16 divisors (see below), whose sum is σ = 11468076164928. Its totient is φ = 5607079540800.

The previous prime is 8505729268963. The next prime is 8505729269003. The reversal of 8505729268977 is 7798629275058.

It is not a de Polignac number, because 8505729268977 - 2¹⁰ = 8505729267953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8505729268899 and 8505729268908.

It is not an unprimeable number, because it can be changed into a prime (8505729261977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17923423 + ... + 18391860.

It is an arithmetic number, because the mean of its divisors is an integer number (716754760308).

Almost surely, 2^{8505729268977} is an apocalyptic number.

It is an amenable number.

8505729268977 is a deficient number, since it is larger than the sum of its proper divisors (2962346895951).

8505729268977 is a wasteful number, since it uses less digits than its factorization.

8505729268977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36316160.

The product of its (nonzero) digits is 1066867200, while the sum is 75.

The spelling of 8505729268977 in words is "eight trillion, five hundred five billion, seven hundred twenty-nine million, two hundred sixty-eight thousand, nine hundred seventy-seven".