10009838850 has 288 divisors, whose sum is σ = 29508629184. Its totient is φ = 2219212800.

The previous prime is 10009838849. The next prime is 10009838857. The reversal of 10009838850 is 5883890001.

It is not an unprimeable number, because it can be changed into a prime (10009838857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51864354 + ... + 51864546.

It is an arithmetic number, because the mean of its divisors is an integer number (102460518).

Almost surely, 2^10009838850 is an apocalyptic number.

10009838850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009838850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754314592).

10009838850 is an abundant number, since it is smaller than the sum of its proper divisors (19498790334).

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

10009838850 is a wasteful number, since it uses less digits than its factorization.

10009838850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10009838850 in words is "ten billion, nine million, eight hundred thirty-eight thousand, eight hundred fifty".