10505661055664 has 40 divisors (see below), whose sum is σ = 21294816919488. Its totient is φ = 5015676254720.

The previous prime is 10505661055661. The next prime is 10505661055679. The reversal of 10505661055664 is 46655016650501.

It is a happy number.

It is a super-2 number, since 2×10505661055664² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505661055661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170338607 + ... + 170400270.

Almost surely, 2^{10505661055664} is an apocalyptic number.

It is an amenable number.

10505661055664 is an abundant number, since it is smaller than the sum of its proper divisors (10789155863824).

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

10505661055664 is a wasteful number, since it uses less digits than its factorization.

10505661055664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340738973 (or 340738967 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 50.

The spelling of 10505661055664 in words is "ten trillion, five hundred five billion, six hundred sixty-one million, fifty-five thousand, six hundred sixty-four".