10684877716 has 12 divisors (see below), whose sum is σ = 18727711380. Its totient is φ = 5334103040.

The previous prime is 10684877713. The next prime is 10684877717. The reversal of 10684877716 is 61777848601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7326675216 + 3358202500 = 85596^2 + 57950^2 .

It is a super-2 number, since 2×10684877716² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684877713) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2081071 + ... + 2086198.

It is an arithmetic number, because the mean of its divisors is an integer number (1560642615).

Almost surely, 2^10684877716 is an apocalyptic number.

It is an amenable number.

10684877716 is a deficient number, since it is larger than the sum of its proper divisors (8042833664).

10684877716 is a wasteful number, since it uses less digits than its factorization.

10684877716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167914 (or 4167912 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 55.

It can be divided in two parts, 1068 and 4877716, that added together give a palindrome (4878784).

The spelling of 10684877716 in words is "ten billion, six hundred eighty-four million, eight hundred seventy-seven thousand, seven hundred sixteen".