10168812784 has 120 divisors (see below), whose sum is σ = 22014702080. Its totient is φ = 4522936320.

The previous prime is 10168812779. The next prime is 10168812791. The reversal of 10168812784 is 48721886101.

10168812784 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 23 ways as a sum of consecutive naturals, for example, 44405182 + ... + 44405410.

Almost surely, 2^10168812784 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 10168812784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007351040).

10168812784 is an abundant number, since it is smaller than the sum of its proper divisors (11845889296).

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

10168812784 is a wasteful number, since it uses less digits than its factorization.

10168812784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The spelling of 10168812784 in words is "ten billion, one hundred sixty-eight million, eight hundred twelve thousand, seven hundred eighty-four".