10838071530 has 192 divisors, whose sum is σ = 33286256640. Its totient is φ = 2412057600.

The previous prime is 10838071513. The next prime is 10838071537. The reversal of 10838071530 is 3517083801.

It is not an unprimeable number, because it can be changed into a prime (10838071537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2455966 + ... + 2460374.

It is an arithmetic number, because the mean of its divisors is an integer number (173365920).

Almost surely, 2^10838071530 is an apocalyptic number.

10838071530 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 10838071530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

10838071530 is an abundant number, since it is smaller than the sum of its proper divisors (22448185110).

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

10838071530 is a wasteful number, since it uses less digits than its factorization.

10838071530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10838071530 in words is "ten billion, eight hundred thirty-eight million, seventy-one thousand, five hundred thirty".