10516510560 has 96 divisors (see below), whose sum is σ = 33499357920. Its totient is φ = 2772881408.

The previous prime is 10516510523. The next prime is 10516510577. The reversal of 10516510560 is 6501561501.

10516510560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10516510560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 80367 + ... + 165806.

It is an arithmetic number, because the mean of its divisors is an integer number (348951645).

Almost surely, 2^10516510560 is an apocalyptic number.

10516510560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10516510560 is an abundant number, since it is smaller than the sum of its proper divisors (22982847360).

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

10516510560 is a wasteful number, since it uses less digits than its factorization.

10516510560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246280 (or 246272 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10516510560 in words is "ten billion, five hundred sixteen million, five hundred ten thousand, five hundred sixty".