10516347560 has 32 divisors (see below), whose sum is σ = 25053653160. Its totient is φ = 3959095296.

The previous prime is 10516347559. The next prime is 10516347571. The reversal of 10516347560 is 6574361501.

10516347560 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 4 ways, for example, as 9697128676 + 819218884 = 98474^2 + 28622^2 .

It is a super-2 number, since 2×10516347560² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7731929 + ... + 7733288.

Almost surely, 2^10516347560 is an apocalyptic number.

10516347560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10516347560 is an abundant number, since it is smaller than the sum of its proper divisors (14537305600).

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

10516347560 is a wasteful number, since it uses less digits than its factorization.

10516347560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15465245 (or 15465241 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 10516347560 in words is "ten billion, five hundred sixteen million, three hundred forty-seven thousand, five hundred sixty".