10884400000 has 96 divisors (see below), whose sum is σ = 27103968360. Its totient is φ = 4353600000.

The previous prime is 10884399997. The next prime is 10884400003. The reversal of 10884400000 is 448801.

It is an interprime number because it is at equal distance from previous prime (10884399997) and next prime (10884400003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10884400003) 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 11 ways as a sum of consecutive naturals, for example, 386395 + ... + 413605.

Almost surely, 2^10884400000 is an apocalyptic number.

10884400000 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 10884400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551984180).

10884400000 is an abundant number, since it is smaller than the sum of its proper divisors (16219568360).

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

10884400000 is an frugal number, since it uses more digits than its factorization.

10884400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27250 (or 27218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10884400000 its reverse (448801), we get a palindrome (10884848801).

The spelling of 10884400000 in words is "ten billion, eight hundred eighty-four million, four hundred thousand".