10825776444 has 96 divisors (see below), whose sum is σ = 29926310400. Its totient is φ = 2980212480.

The previous prime is 10825776431. The next prime is 10825776469. The reversal of 10825776444 is 44467752801.

It is a junction number, because it is equal to n+sod(n) for n = 10825776393 and 10825776402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235559 + ... + 1244289.

It is an arithmetic number, because the mean of its divisors is an integer number (311732400).

Almost surely, 2^10825776444 is an apocalyptic number.

10825776444 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 10825776444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963155200).

10825776444 is an abundant number, since it is smaller than the sum of its proper divisors (19100533956).

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

10825776444 is a wasteful number, since it uses less digits than its factorization.

10825776444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 10825776444 in words is "ten billion, eight hundred twenty-five million, seven hundred seventy-six thousand, four hundred forty-four".