10838815200 has 288 divisors, whose sum is σ = 40467409920. Its totient is φ = 2796940800.

The previous prime is 10838815193. The next prime is 10838815201. The reversal of 10838815200 is 251883801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838815201) 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 47 ways as a sum of consecutive naturals, for example, 661507 + ... + 677693.

It is an arithmetic number, because the mean of its divisors is an integer number (140511840).

Almost surely, 2^10838815200 is an apocalyptic number.

10838815200 is a gapful number since it is divisible by the number (10) 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 10838815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233704960).

10838815200 is an abundant number, since it is smaller than the sum of its proper divisors (29628594720).

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

10838815200 is a wasteful number, since it uses less digits than its factorization.

10838815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16247 (or 16228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10838815200 in words is "ten billion, eight hundred thirty-eight million, eight hundred fifteen thousand, two hundred".