10505510510096 has 80 divisors (see below), whose sum is σ = 23286426240000. Its totient is φ = 4497675444864.

The previous prime is 10505510510083. The next prime is 10505510510123. The reversal of 10505510510096 is 69001501550501.

It is a super-2 number, since 2×10505510510096² (a number of 27 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 15 ways as a sum of consecutive naturals, for example, 516916991 + ... + 516937313.

It is an arithmetic number, because the mean of its divisors is an integer number (291080328000).

Almost surely, 2^{10505510510096} is an apocalyptic number.

10505510510096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10505510510096 is an abundant number, since it is smaller than the sum of its proper divisors (12780915729904).

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

10505510510096 is a wasteful number, since it uses less digits than its factorization.

10505510510096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24916 (or 24910 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 38.

The spelling of 10505510510096 in words is "ten trillion, five hundred five billion, five hundred ten million, five hundred ten thousand, ninety-six".