10833997824 has 468 divisors, whose sum is σ = 35543173536. Its totient is φ = 3174432768.

The previous prime is 10833997807. The next prime is 10833997829. The reversal of 10833997824 is 42879933801.

It is a tau number, because it is divible by the number of its divisors (468).

It is not an unprimeable number, because it can be changed into a prime (10833997829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230510569 + ... + 230510615.

It is an arithmetic number, because the mean of its divisors is an integer number (75946952).

Almost surely, 2^10833997824 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 10833997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771586768).

10833997824 is an abundant number, since it is smaller than the sum of its proper divisors (24709175712).

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

10833997824 is a wasteful number, since it uses less digits than its factorization.

10833997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10833997824 in words is "ten billion, eight hundred thirty-three million, nine hundred ninety-seven thousand, eight hundred twenty-four".