10165055060064 has 48 divisors (see below), whose sum is σ = 26704945935360. Its totient is φ = 3385599127680.

The previous prime is 10165055060063. The next prime is 10165055060093. The reversal of 10165055060064 is 46006055056101.

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

It is a super-3 number, since 3×10165055060064³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165055060063) 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, 42889944 + ... + 43126295.

It is an arithmetic number, because the mean of its divisors is an integer number (556353040320).

Almost surely, 2^{10165055060064} is an apocalyptic number.

It is an amenable number.

10165055060064 is an abundant number, since it is smaller than the sum of its proper divisors (16539890875296).

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

10165055060064 is a wasteful number, since it uses less digits than its factorization.

10165055060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86017483 (or 86017475 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 10165055060064 in words is "ten trillion, one hundred sixty-five billion, fifty-five million, sixty thousand, sixty-four".