10505066016 has 48 divisors (see below), whose sum is σ = 27600005664. Its totient is φ = 3498614784.

The previous prime is 10505065999. The next prime is 10505066057. The reversal of 10505066016 is 61066050501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10505066016² (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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63235 + ... + 158141.

It is an arithmetic number, because the mean of its divisors is an integer number (575000118).

Almost surely, 2^10505066016 is an apocalyptic number.

10505066016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10505066016 is an abundant number, since it is smaller than the sum of its proper divisors (17094939648).

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

10505066016 is a wasteful number, since it uses less digits than its factorization.

10505066016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96073 (or 96065 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10505066016 in words is "ten billion, five hundred five million, sixty-six thousand, sixteen".