10825848832 has 48 divisors (see below), whose sum is σ = 21665432880. Its totient is φ = 5408169984.

The previous prime is 10825848809. The next prime is 10825848841. The reversal of 10825848832 is 23884852801.

It is a super-3 number, since 3×10825848832³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4088533 + ... + 4091179.

It is an arithmetic number, because the mean of its divisors is an integer number (451363185).

Almost surely, 2^10825848832 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 10825848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832716440).

10825848832 is an abundant number, since it is smaller than the sum of its proper divisors (10839584048).

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

10825848832 is an equidigital number, since it uses as much as digits as its factorization.

10825848832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 10825848832 in words is "ten billion, eight hundred twenty-five million, eight hundred forty-eight thousand, eight hundred thirty-two".