10838828616 has 432 divisors, whose sum is σ = 36739951920. Its totient is φ = 2654467200.

The previous prime is 10838828509. The next prime is 10838828617. The reversal of 10838828616 is 61682883801.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10838828617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 51368751 + ... + 51368961.

It is an arithmetic number, because the mean of its divisors is an integer number (85046185).

Almost surely, 2^10838828616 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 10838828616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369975960).

10838828616 is an abundant number, since it is smaller than the sum of its proper divisors (25901123304).

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

10838828616 is a wasteful number, since it uses less digits than its factorization.

10838828616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 10838828616 in words is "ten billion, eight hundred thirty-eight million, eight hundred twenty-eight thousand, six hundred sixteen".