10171680985125 has 256 divisors, whose sum is σ = 21033140244480. Its totient is φ = 4807598400000.

The previous prime is 10171680985093. The next prime is 10171680985187. The reversal of 10171680985125 is 52158908617101.

10171680985125 is a `hidden beast` number, since 10 + 17 + 16 + 8 + 0 + 98 + 512 + 5 = 666.

It is not a de Polignac number, because 10171680985125 - 2⁵ = 10171680985093 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3060991714 + ... + 3060995036.

It is an arithmetic number, because the mean of its divisors is an integer number (82160704080).

Almost surely, 2^{10171680985125} is an apocalyptic number.

10171680985125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10171680985125 is an abundant number, since it is smaller than the sum of its proper divisors (10861459259355).

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

10171680985125 is a wasteful number, since it uses less digits than its factorization.

10171680985125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 10171680985125 in words is "ten trillion, one hundred seventy-one billion, six hundred eighty million, nine hundred eighty-five thousand, one hundred twenty-five".