10166116515600 has 120 divisors (see below), whose sum is σ = 32680533293152. Its totient is φ = 2701384934400.

The previous prime is 10166116515587. The next prime is 10166116515619. The reversal of 10166116515600 is 651561166101.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14628181 + ... + 15307380.

Almost surely, 2^{10166116515600} is an apocalyptic number.

10166116515600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166116515600 is an abundant number, since it is smaller than the sum of its proper divisors (22514416777552).

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

10166116515600 is a wasteful number, since it uses less digits than its factorization.

10166116515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29935865 (or 29935854 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 10166116515600 in words is "ten trillion, one hundred sixty-six billion, one hundred sixteen million, five hundred fifteen thousand, six hundred".