10386288000 has 768 divisors, whose sum is σ = 41702169600. Its totient is φ = 2456064000.

The previous prime is 10386287993. The next prime is 10386288001. The reversal of 10386288000 is 88268301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10386288001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 125135959 + ... + 125136041.

It is an arithmetic number, because the mean of its divisors is an integer number (54299700).

Almost surely, 2^10386288000 is an apocalyptic number.

10386288000 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 10386288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

10386288000 is an abundant number, since it is smaller than the sum of its proper divisors (31315881600).

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

10386288000 is a wasteful number, since it uses less digits than its factorization.

10386288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10386288000 in words is "ten billion, three hundred eighty-six million, two hundred eighty-eight thousand".