10875916744 has 128 divisors (see below), whose sum is σ = 26508902400. Its totient is φ = 4059360000.

The previous prime is 10875916739. The next prime is 10875916747. The reversal of 10875916744 is 44761957801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10875916691 and 10875916700.

It is not an unprimeable number, because it can be changed into a prime (10875916747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925877 + ... + 1931515.

It is an arithmetic number, because the mean of its divisors is an integer number (207100800).

Almost surely, 2^10875916744 is an apocalyptic number.

10875916744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10875916744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13254451200).

10875916744 is an abundant number, since it is smaller than the sum of its proper divisors (15632985656).

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

10875916744 is a wasteful number, since it uses less digits than its factorization.

10875916744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 10875916744 in words is "ten billion, eight hundred seventy-five million, nine hundred sixteen thousand, seven hundred forty-four".