10166875880256 has 672 divisors, whose sum is σ = 32374171065600. Its totient is φ = 3152410804224.

The previous prime is 10166875880251. The next prime is 10166875880269. The reversal of 10166875880256 is 65208857866101.

10166875880256 is a `hidden beast` number, since 10 + 16 + 6 + 8 + 7 + 588 + 0 + 25 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10166875880193 and 10166875880202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166875880251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9101947410 + ... + 9101948526.

It is an arithmetic number, because the mean of its divisors is an integer number (48175849800).

Almost surely, 2^{10166875880256} is an apocalyptic number.

10166875880256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166875880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187085532800).

10166875880256 is an abundant number, since it is smaller than the sum of its proper divisors (22207295185344).

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

10166875880256 is a wasteful number, since it uses less digits than its factorization.

10166875880256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 10166875880256 in words is "ten trillion, one hundred sixty-six billion, eight hundred seventy-five million, eight hundred eighty thousand, two hundred fifty-six".