10825212384 has 384 divisors, whose sum is σ = 38320128000. Its totient is φ = 2906095104.

The previous prime is 10825212373. The next prime is 10825212389. The reversal of 10825212384 is 48321252801.

It is a happy number.

10825212384 is a `hidden beast` number, since 10 + 8 + 252 + 12 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825212389) 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, 8206477 + ... + 8207795.

It is an arithmetic number, because the mean of its divisors is an integer number (99792000).

Almost surely, 2^10825212384 is an apocalyptic number.

10825212384 is a gapful number since it is divisible by the number (14) 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 10825212384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064000).

10825212384 is an abundant number, since it is smaller than the sum of its proper divisors (27494915616).

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

10825212384 is a wasteful number, since it uses less digits than its factorization.

10825212384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10825212384 in words is "ten billion, eight hundred twenty-five million, two hundred twelve thousand, three hundred eighty-four".