10825249920 has 512 divisors, whose sum is σ = 38071296000. Its totient is φ = 2607661056.

The previous prime is 10825249907. The next prime is 10825249921. The reversal of 10825249920 is 2994252801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10825249921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101170507 + ... + 101170613.

It is an arithmetic number, because the mean of its divisors is an integer number (74358000).

Almost surely, 2^10825249920 is an apocalyptic number.

10825249920 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 10825249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035648000).

10825249920 is an abundant number, since it is smaller than the sum of its proper divisors (27246046080).

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

10825249920 is a wasteful number, since it uses less digits than its factorization.

10825249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10825249920 in words is "ten billion, eight hundred twenty-five million, two hundred forty-nine thousand, nine hundred twenty".