10038284836992 has 224 divisors, whose sum is σ = 29994447628080. Its totient is φ = 3344873522688.

The previous prime is 10038284836991. The next prime is 10038284837023. The reversal of 10038284836992 is 29963848283001.

10038284836992 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 2 + 8 + 483 + 69 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (10038284836991) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 276465303 + ... + 276501609.

Almost surely, 2^{10038284836992} is an apocalyptic number.

10038284836992 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 10038284836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997223814040).

10038284836992 is an abundant number, since it is smaller than the sum of its proper divisors (19956162791088).

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

10038284836992 is an frugal number, since it uses more digits than its factorization.

10038284836992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39302 (or 39275 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 10038284836992 in words is "ten trillion, thirty-eight billion, two hundred eighty-four million, eight hundred thirty-six thousand, nine hundred ninety-two".