10166497056 has 384 divisors, whose sum is σ = 32006016000. Its totient is φ = 3133734912.

The previous prime is 10166497021. The next prime is 10166497093. The reversal of 10166497056 is 65079466101.

10166497056 is a `hidden beast` number, since 101 + 6 + 6 + 497 + 0 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104809200 + ... + 104809296.

It is an arithmetic number, because the mean of its divisors is an integer number (83349000).

Almost surely, 2^10166497056 is an apocalyptic number.

10166497056 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 10166497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008000).

10166497056 is an abundant number, since it is smaller than the sum of its proper divisors (21839518944).

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

10166497056 is a wasteful number, since it uses less digits than its factorization.

10166497056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10166497056 in words is "ten billion, one hundred sixty-six million, four hundred ninety-seven thousand, fifty-six".