10986647517 has 16 divisors (see below), whose sum is σ = 16282829760. Its totient is φ = 7321590000.

The previous prime is 10986647513. The next prime is 10986647519. The reversal of 10986647517 is 71574668901.

10986647517 is a `hidden beast` number, since 1 + 0 + 9 + 86 + 6 + 47 + 517 = 666.

It is not a de Polignac number, because 10986647517 - 2² = 10986647513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10986647513) 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 15 ways as a sum of consecutive naturals, for example, 6859 + ... + 148392.

It is an arithmetic number, because the mean of its divisors is an integer number (1017676860).

Almost surely, 2^10986647517 is an apocalyptic number.

It is an amenable number.

10986647517 is a deficient number, since it is larger than the sum of its proper divisors (5296182243).

10986647517 is a wasteful number, since it uses less digits than its factorization.

10986647517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157881 (or 157875 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

It can be divided in two parts, 10986 and 647517, that added together give a cube (658503 = 87³).

The spelling of 10986647517 in words is "ten billion, nine hundred eighty-six million, six hundred forty-seven thousand, five hundred seventeen".