10506588714 has 24 divisors (see below), whose sum is σ = 22766191812. Its totient is φ = 3501901440.

The previous prime is 10506588689. The next prime is 10506588749. The reversal of 10506588714 is 41788560501.

10506588714 is a `hidden beast` number, since 1 + 0 + 50 + 6 + 588 + 7 + 14 = 666.

10506588714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10468359225 + 38229489 = 102315^2 + 6183^2 .

It is a super-2 number, since 2×10506588714² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506588714.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347524 + ... + 376544.

Almost surely, 2^10506588714 is an apocalyptic number.

10506588714 is an abundant number, since it is smaller than the sum of its proper divisors (12259603098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10506588714 is a wasteful number, since it uses less digits than its factorization.

10506588714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49142 (or 49139 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10506588714 in words is "ten billion, five hundred six million, five hundred eighty-eight thousand, seven hundred fourteen".