10606848000 has 384 divisors, whose sum is σ = 40352981760. Its totient is φ = 2423193600.

The previous prime is 10606847989. The next prime is 10606848013. The reversal of 10606848000 is 84860601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10606848000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375014 + ... + 5376986.

It is an arithmetic number, because the mean of its divisors is an integer number (105085890).

Almost surely, 2^10606848000 is an apocalyptic number.

10606848000 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 10606848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176490880).

10606848000 is an abundant number, since it is smaller than the sum of its proper divisors (29746133760).

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

10606848000 is an equidigital number, since it uses as much as digits as its factorization.

10606848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 10606848000 in words is "ten billion, six hundred six million, eight hundred forty-eight thousand".