10281659872 has 96 divisors (see below), whose sum is σ = 22675500288. Its totient is φ = 4548480000.

The previous prime is 10281659851. The next prime is 10281659929. The reversal of 10281659872 is 27895618201.

It is a happy number.

10281659872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 9971997 + ... + 9973027.

It is an arithmetic number, because the mean of its divisors is an integer number (236203128).

Almost surely, 2^10281659872 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 10281659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337750144).

10281659872 is an abundant number, since it is smaller than the sum of its proper divisors (12393840416).

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

10281659872 is a wasteful number, since it uses less digits than its factorization.

10281659872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 10281659872 in words is "ten billion, two hundred eighty-one million, six hundred fifty-nine thousand, eight hundred seventy-two".