10829607552 has 128 divisors (see below), whose sum is σ = 32826619200. Its totient is φ = 3512263680.

The previous prime is 10829607539. The next prime is 10829607559. The reversal of 10829607552 is 25570692801.

10829607552 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 96 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10829607498 and 10829607507.

It is not an unprimeable number, because it can be changed into a prime (10829607559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85527 + ... + 170217.

Almost surely, 2^10829607552 is an apocalyptic number.

10829607552 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 10829607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413309600).

10829607552 is an abundant number, since it is smaller than the sum of its proper divisors (21997011648).

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

10829607552 is an equidigital number, since it uses as much as digits as its factorization.

10829607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84751 (or 84733 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10829607552 in words is "ten billion, eight hundred twenty-nine million, six hundred seven thousand, five hundred fifty-two".