10238012820 has 576 divisors, whose sum is σ = 39685201920. Its totient is φ = 2163345408.

The previous prime is 10238012797. The next prime is 10238012893. The reversal of 10238012820 is 2821083201.

10238012820 is a `hidden beast` number, since 1 + 0 + 2 + 380 + 1 + 282 + 0 = 666.

10238012820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30379692 + ... + 30380028.

It is an arithmetic number, because the mean of its divisors is an integer number (68897920).

Almost surely, 2^10238012820 is an apocalyptic number.

10238012820 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 10238012820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842600960).

10238012820 is an abundant number, since it is smaller than the sum of its proper divisors (29447189100).

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

10238012820 is a wasteful number, since it uses less digits than its factorization.

10238012820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10238012820 in words is "ten billion, two hundred thirty-eight million, twelve thousand, eight hundred twenty".