10823252000 has 96 divisors (see below), whose sum is σ = 29010369024. Its totient is φ = 3935712000.

The previous prime is 10823251987. The next prime is 10823252003. The reversal of 10823252000 is 25232801.

It is not an unprimeable number, because it can be changed into a prime (10823252003) 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 15 ways as a sum of consecutive naturals, for example, 78992 + ... + 166991.

It is an arithmetic number, because the mean of its divisors is an integer number (302191344).

Almost surely, 2^10823252000 is an apocalyptic number.

10823252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10823252000 is an abundant number, since it is smaller than the sum of its proper divisors (18187117024).

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

10823252000 is a wasteful number, since it uses less digits than its factorization.

10823252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246019 (or 246001 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10823252000 its reverse (25232801), we get a palindrome (10848484801).

The spelling of 10823252000 in words is "ten billion, eight hundred twenty-three million, two hundred fifty-two thousand".