10891679079177 has 20 divisors (see below), whose sum is σ = 17521846497540. Its totient is φ = 6702571740384.

The previous prime is 10891679079173. The next prime is 10891679079187. The reversal of 10891679079177 is 77197097619801.

It can be written as a sum of positive squares in 2 ways, for example, as 608811909696 + 10282867169481 = 780264^2 + 3206691^2 .

It is not a de Polignac number, because 10891679079177 - 2² = 10891679079173 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10891679079173) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5171736402 + ... + 5171738507.

It is an arithmetic number, because the mean of its divisors is an integer number (876092324877).

Almost surely, 2^{10891679079177} is an apocalyptic number.

It is an amenable number.

10891679079177 is a deficient number, since it is larger than the sum of its proper divisors (6630167418363).

10891679079177 is a wasteful number, since it uses less digits than its factorization.

10891679079177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10343474934 (or 10343474925 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 72.

The spelling of 10891679079177 in words is "ten trillion, eight hundred ninety-one billion, six hundred seventy-nine million, seventy-nine thousand, one hundred seventy-seven".