10829477120 has 288 divisors, whose sum is σ = 34048788480. Its totient is φ = 3197214720.

The previous prime is 10829477119. The next prime is 10829477123. The reversal of 10829477120 is 2177492801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829477123) 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, 1869749 + ... + 1875531.

It is an arithmetic number, because the mean of its divisors is an integer number (118224960).

Almost surely, 2^10829477120 is an apocalyptic number.

10829477120 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 10829477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17024394240).

10829477120 is an abundant number, since it is smaller than the sum of its proper divisors (23219311360).

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

10829477120 is a wasteful number, since it uses less digits than its factorization.

10829477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 10829477120 in words is "ten billion, eight hundred twenty-nine million, four hundred seventy-seven thousand, one hundred twenty".