10185680160 has 144 divisors (see below), whose sum is σ = 34791906240. Its totient is φ = 2713582080.

The previous prime is 10185680069. The next prime is 10185680177. The reversal of 10185680160 is 6108658101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1856301 + ... + 1861779.

It is an arithmetic number, because the mean of its divisors is an integer number (241610460).

Almost surely, 2^10185680160 is an apocalyptic number.

10185680160 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 10185680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395953120).

10185680160 is an abundant number, since it is smaller than the sum of its proper divisors (24606226080).

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

10185680160 is a wasteful number, since it uses less digits than its factorization.

10185680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10185680160 in words is "ten billion, one hundred eighty-five million, six hundred eighty thousand, one hundred sixty".