10166709677400 has 72 divisors (see below), whose sum is σ = 34143200005980. Its totient is φ = 2711122580160.

The previous prime is 10166709677353. The next prime is 10166709677407. The reversal of 10166709677400 is 477690766101.

10166709677400 is a `hidden beast` number, since 1 + 0 + 16 + 6 + 70 + 96 + 77 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166709677407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2824084222 + ... + 2824087821.

Almost surely, 2^{10166709677400} is an apocalyptic number.

10166709677400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166709677400 is an abundant number, since it is smaller than the sum of its proper divisors (23976490328580).

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

10166709677400 is a wasteful number, since it uses less digits than its factorization.

10166709677400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648172065 (or 5648172053 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 10166709677400 in words is "ten trillion, one hundred sixty-six billion, seven hundred nine million, six hundred seventy-seven thousand, four hundred".