10166056155648 has 60 divisors (see below), whose sum is σ = 29339926405218. Its totient is φ = 3388685383680.

The previous prime is 10166056155623. The next prime is 10166056155659. The reversal of 10166056155648 is 84655165066101.

It is a happy number.

10166056155648 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 60 + 5 + 6 + 15 + 564 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6775567352064 + 3390488803584 = 2602992^2 + 1841328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10166056155594 and 10166056155603.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1103083083 + ... + 1103092298.

Almost surely, 2^{10166056155648} is an apocalyptic number.

10166056155648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10166056155648 is an abundant number, since it is smaller than the sum of its proper divisors (19173870249570).

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

10166056155648 is an equidigital number, since it uses as much as digits as its factorization.

10166056155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206175405 (or 2206175386 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 10166056155648 in words is "ten trillion, one hundred sixty-six billion, fifty-six million, one hundred fifty-five thousand, six hundred forty-eight".