10251561166164 has 18 divisors (see below), whose sum is σ = 25913668503450. Its totient is φ = 3417187055376.

The previous prime is 10251561166151. The next prime is 10251561166181. The reversal of 10251561166164 is 46166116515201.

It is a happy number.

10251561166164 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 15 + 6 + 1 + 16 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7142299010064 + 3109262156100 = 2672508^2 + 1763310^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 142382793939 + ... + 142382794010.

Almost surely, 2^{10251561166164} is an apocalyptic number.

It is an amenable number.

10251561166164 is an abundant number, since it is smaller than the sum of its proper divisors (15662107337286).

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

10251561166164 is a wasteful number, since it uses less digits than its factorization.

10251561166164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284765587959 (or 284765587954 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10251561166164 in words is "ten trillion, two hundred fifty-one billion, five hundred sixty-one million, one hundred sixty-six thousand, one hundred sixty-four".