10833208320 has 352 divisors, whose sum is σ = 38246737536. Its totient is φ = 2595225600.

The previous prime is 10833208297. The next prime is 10833208327. The reversal of 10833208320 is 2380233801.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10833208327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16388790 + ... + 16389450.

Almost surely, 2^10833208320 is an apocalyptic number.

10833208320 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 10833208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123368768).

10833208320 is an abundant number, since it is smaller than the sum of its proper divisors (27413529216).

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

10833208320 is a wasteful number, since it uses less digits than its factorization.

10833208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10833208320 in words is "ten billion, eight hundred thirty-three million, two hundred eight thousand, three hundred twenty".