10185681112880 has 960 divisors, whose sum is σ = 32140470878208. Its totient is φ = 2966744309760.

The previous prime is 10185681112853. The next prime is 10185681112897. The reversal of 10185681112880 is 8821118658101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7157891849 + ... + 7157893271.

Almost surely, 2^{10185681112880} is an apocalyptic number.

10185681112880 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 10185681112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070235439104).

10185681112880 is an abundant number, since it is smaller than the sum of its proper divisors (21954789765328).

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

10185681112880 is a wasteful number, since it uses less digits than its factorization.

10185681112880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 50.

The spelling of 10185681112880 in words is "ten trillion, one hundred eighty-five billion, six hundred eighty-one million, one hundred twelve thousand, eight hundred eighty".