10166561504 has 24 divisors (see below), whose sum is σ = 21835002168. Its totient is φ = 4621164160.

The previous prime is 10166561491. The next prime is 10166561539. The reversal of 10166561504 is 40516566101.

It is a super-2 number, since 2×10166561504² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14440787 + ... + 14441490.

It is an arithmetic number, because the mean of its divisors is an integer number (909791757).

Almost surely, 2^10166561504 is an apocalyptic number.

It is an amenable number.

10166561504 is an abundant number, since it is smaller than the sum of its proper divisors (11668440664).

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

10166561504 is a wasteful number, since it uses less digits than its factorization.

10166561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882298 (or 28882290 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 10166561504 in words is "ten billion, one hundred sixty-six million, five hundred sixty-one thousand, five hundred four".