10129581168 has 80 divisors (see below), whose sum is σ = 30714700800. Its totient is φ = 2815941888.

The previous prime is 10129581151. The next prime is 10129581199. The reversal of 10129581168 is 86118592101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394968 + ... + 419831.

It is an arithmetic number, because the mean of its divisors is an integer number (383933760).

Almost surely, 2^10129581168 is an apocalyptic number.

It is an amenable number.

10129581168 is an abundant number, since it is smaller than the sum of its proper divisors (20585119632).

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

10129581168 is a wasteful number, since it uses less digits than its factorization.

10129581168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814854 (or 814848 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 42.

The spelling of 10129581168 in words is "ten billion, one hundred twenty-nine million, five hundred eighty-one thousand, one hundred sixty-eight".