10838016000 has 816 divisors, whose sum is σ = 46619333280. Its totient is φ = 2477260800.

The previous prime is 10838015911. The next prime is 10838016019. The reversal of 10838016000 is 61083801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548287997 + ... + 1548288003.

Almost surely, 2^10838016000 is an apocalyptic number.

10838016000 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 10838016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23309666640).

10838016000 is an abundant number, since it is smaller than the sum of its proper divisors (35781317280).

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

10838016000 is an frugal number, since it uses more digits than its factorization.

10838016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10838016000 its reverse (61083801), we get a palindrome (10899099801).

It can be divided in two parts, 1083801 and 6000, that added together give a palindrome (1089801).

The spelling of 10838016000 in words is "ten billion, eight hundred thirty-eight million, sixteen thousand".