10505166610540 has 24 divisors (see below), whose sum is σ = 25212399865632. Its totient is φ = 3601771409280.

The previous prime is 10505166610457. The next prime is 10505166610553. The reversal of 10505166610540 is 4501666150501.

10505166610540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505166610540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505166610493 and 10505166610502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37518452041 + ... + 37518452320.

It is an arithmetic number, because the mean of its divisors is an integer number (1050516661068).

Almost surely, 2^{10505166610540} is an apocalyptic number.

10505166610540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505166610540 is an abundant number, since it is smaller than the sum of its proper divisors (14707233255092).

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

10505166610540 is a wasteful number, since it uses less digits than its factorization.

10505166610540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75036904377 (or 75036904375 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 10505166610540 in words is "ten trillion, five hundred five billion, one hundred sixty-six million, six hundred ten thousand, five hundred forty".