10838989280 has 192 divisors, whose sum is σ = 30907215360. Its totient is φ = 3509028864.

The previous prime is 10838989201. The next prime is 10838989303. The reversal of 10838989280 is 8298983801.

Together with 20068226079 it forms a betrothed pair.

It is a super-2 number, since 2×10838989280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447519 + ... + 8448801.

It is an arithmetic number, because the mean of its divisors is an integer number (160975080).

Almost surely, 2^10838989280 is an apocalyptic number.

10838989280 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 10838989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453607680).

10838989280 is an abundant number, since it is smaller than the sum of its proper divisors (20068226080).

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

10838989280 is a wasteful number, since it uses less digits than its factorization.

10838989280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 56.

The spelling of 10838989280 in words is "ten billion, eight hundred thirty-eight million, nine hundred eighty-nine thousand, two hundred eighty".