10085781171177 has 24 divisors (see below), whose sum is σ = 14791591526400. Its totient is φ = 6620898604320.

The previous prime is 10085781171127. The next prime is 10085781171209. The reversal of 10085781171177 is 77117118758001.

It is not a de Polignac number, because 10085781171177 - 2¹⁶ = 10085781105641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10085781171127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1743849 + ... + 4817942.

It is an arithmetic number, because the mean of its divisors is an integer number (616316313600).

Almost surely, 2^{10085781171177} is an apocalyptic number.

It is an amenable number.

10085781171177 is a deficient number, since it is larger than the sum of its proper divisors (4705810355223).

10085781171177 is a wasteful number, since it uses less digits than its factorization.

10085781171177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564413 (or 6564410 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 54.

The spelling of 10085781171177 in words is "ten trillion, eighty-five billion, seven hundred eighty-one million, one hundred seventy-one thousand, one hundred seventy-seven".