10686416751 has 40 divisors (see below), whose sum is σ = 16880696448. Its totient is φ = 6726240000.

The previous prime is 10686416749. The next prime is 10686416761. The reversal of 10686416751 is 15761468601.

10686416751 is a `hidden beast` number, since 106 + 86 + 416 + 7 + 51 = 666.

It is not a de Polignac number, because 10686416751 - 2¹ = 10686416749 is a prime.

It is a super-2 number, since 2×10686416751² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10686416697 and 10686416706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686416711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51051 + ... + 154851.

Almost surely, 2^10686416751 is an apocalyptic number.

10686416751 is a deficient number, since it is larger than the sum of its proper divisors (6194279697).

10686416751 is a wasteful number, since it uses less digits than its factorization.

10686416751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103885 (or 103876 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10686416751 in words is "ten billion, six hundred eighty-six million, four hundred sixteen thousand, seven hundred fifty-one".