10857587876177 has 16 divisors (see below), whose sum is σ = 13067325527040. Its totient is φ = 8812931068368.

The previous prime is 10857587876159. The next prime is 10857587876227. The reversal of 10857587876177 is 77167878575801.

It is not a de Polignac number, because 10857587876177 - 2¹⁰ = 10857587875153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10857587876098 and 10857587876107.

It is not an unprimeable number, because it can be changed into a prime (10857587876677) 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, 17079413 + ... + 17703714.

It is an arithmetic number, because the mean of its divisors is an integer number (816707845440).

Almost surely, 2^{10857587876177} is an apocalyptic number.

It is an amenable number.

10857587876177 is a deficient number, since it is larger than the sum of its proper divisors (2209737650863).

10857587876177 is a wasteful number, since it uses less digits than its factorization.

10857587876177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34785500.

The product of its (nonzero) digits is 1290777600, while the sum is 77.

The spelling of 10857587876177 in words is "ten trillion, eight hundred fifty-seven billion, five hundred eighty-seven million, eight hundred seventy-six thousand, one hundred seventy-seven".