10505055060 has 72 divisors (see below), whose sum is σ = 32108652576. Its totient is φ = 2779957440.

The previous prime is 10505055049. The next prime is 10505055061. The reversal of 10505055060 is 6055050501.

10505055060 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 50 + 550 + 60 = 666.

It is a super-2 number, since 2×10505055060² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505055061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199174 + ... + 246333.

It is an arithmetic number, because the mean of its divisors is an integer number (445953508).

Almost surely, 2^10505055060 is an apocalyptic number.

10505055060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505055060 is an abundant number, since it is smaller than the sum of its proper divisors (21603597516).

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

10505055060 is a wasteful number, since it uses less digits than its factorization.

10505055060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445653 (or 445648 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10505055060 in words is "ten billion, five hundred five million, fifty-five thousand, sixty".