10833338400 has 216 divisors, whose sum is σ = 37461196080. Its totient is φ = 2718781440.

The previous prime is 10833338393. The next prime is 10833338419. The reversal of 10833338400 is 483333801.

It is a super-2 number, since 2×10833338400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 685791 + ... + 701409.

Almost surely, 2^10833338400 is an apocalyptic number.

10833338400 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 10833338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730598040).

10833338400 is an abundant number, since it is smaller than the sum of its proper divisors (26627857680).

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

10833338400 is a wasteful number, since it uses less digits than its factorization.

10833338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10833338400 in words is "ten billion, eight hundred thirty-three million, three hundred thirty-eight thousand, four hundred".