10005838272 has 168 divisors, whose sum is σ = 29511955200. Its totient is φ = 3239612928.

The previous prime is 10005838237. The next prime is 10005838279. The reversal of 10005838272 is 27283850001.

10005838272 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 583 + 8 + 2 + 72 = 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 (10005838279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3761679 + ... + 3764337.

It is an arithmetic number, because the mean of its divisors is an integer number (175666400).

Almost surely, 2^10005838272 is an apocalyptic number.

10005838272 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 10005838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755977600).

10005838272 is an abundant number, since it is smaller than the sum of its proper divisors (19506116928).

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

10005838272 is a wasteful number, since it uses less digits than its factorization.

10005838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10005838272 in words is "ten billion, five million, eight hundred thirty-eight thousand, two hundred seventy-two".