10829830572 has 180 divisors, whose sum is σ = 31269081480. Its totient is φ = 3277454400.

The previous prime is 10829830553. The next prime is 10829830573. The reversal of 10829830572 is 27503892801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10829830573) 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 59 ways as a sum of consecutive naturals, for example, 14230672 + ... + 14231432.

Almost surely, 2^10829830572 is an apocalyptic number.

10829830572 is a gapful number since it is divisible by the number (12) 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 10829830572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634540740).

10829830572 is an abundant number, since it is smaller than the sum of its proper divisors (20439250908).

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

10829830572 is an frugal number, since it uses more digits than its factorization.

10829830572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10829830572 in words is "ten billion, eight hundred twenty-nine million, eight hundred thirty thousand, five hundred seventy-two".