10166055160600 has 96 divisors (see below), whose sum is σ = 23784282708480. Its totient is φ = 4040938212480.

The previous prime is 10166055160561. The next prime is 10166055160603. The reversal of 10166055160600 is 606155066101.

10166055160600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10166055160600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166055160603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124440967 + ... + 124522633.

It is an arithmetic number, because the mean of its divisors is an integer number (247752944880).

Almost surely, 2^{10166055160600} is an apocalyptic number.

10166055160600 is a gapful number since it is divisible by the number (10) 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 10166055160600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892141354240).

10166055160600 is an abundant number, since it is smaller than the sum of its proper divisors (13618227547880).

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

10166055160600 is a wasteful number, since it uses less digits than its factorization.

10166055160600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85577 (or 85568 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10166055160600 in words is "ten trillion, one hundred sixty-six billion, fifty-five million, one hundred sixty thousand, six hundred".