10517969760 has 96 divisors (see below), whose sum is σ = 33154767072. Its totient is φ = 2802831360.

The previous prime is 10517969753. The next prime is 10517969773. The reversal of 10517969760 is 6796971501.

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

It is a super-2 number, since 2×10517969760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759700 + ... + 773420.

It is an arithmetic number, because the mean of its divisors is an integer number (345362157).

Almost surely, 2^10517969760 is an apocalyptic number.

10517969760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10517969760 is an abundant number, since it is smaller than the sum of its proper divisors (22636797312).

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

10517969760 is a wasteful number, since it uses less digits than its factorization.

10517969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15336 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 51.

The spelling of 10517969760 in words is "ten billion, five hundred seventeen million, nine hundred sixty-nine thousand, seven hundred sixty".