10160871984 has 640 divisors, whose sum is σ = 35140608000. Its totient is φ = 2821754880.

The previous prime is 10160871977. The next prime is 10160871997. The reversal of 10160871984 is 48917806101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 327770049 + ... + 327770079.

It is an arithmetic number, because the mean of its divisors is an integer number (54907200).

Almost surely, 2^10160871984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160871984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570304000).

10160871984 is an abundant number, since it is smaller than the sum of its proper divisors (24979736016).

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

10160871984 is a wasteful number, since it uses less digits than its factorization.

10160871984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10160871984 in words is "ten billion, one hundred sixty million, eight hundred seventy-one thousand, nine hundred eighty-four".