10725938784 has 192 divisors, whose sum is σ = 34462471680. Its totient is φ = 3218434560.

The previous prime is 10725938779. The next prime is 10725938789. The reversal of 10725938784 is 48783952701.

It is a happy number.

10725938784 is a `hidden beast` number, since 1 + 0 + 7 + 259 + 387 + 8 + 4 = 666.

10725938784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10725938779) and next prime (10725938789).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10725938784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10725938789) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 973434 + ... + 984390.

It is an arithmetic number, because the mean of its divisors is an integer number (179492040).

Almost surely, 2^10725938784 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 10725938784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231235840).

10725938784 is an abundant number, since it is smaller than the sum of its proper divisors (23736532896).

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

10725938784 is a wasteful number, since it uses less digits than its factorization.

10725938784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10725938784 in words is "ten billion, seven hundred twenty-five million, nine hundred thirty-eight thousand, seven hundred eighty-four".