10083268000 has 192 divisors, whose sum is σ = 26835943680. Its totient is φ = 3701376000.

The previous prime is 10083267991. The next prime is 10083268051. The reversal of 10083268000 is 86238001.

It is a self number, because there is not a number n which added to its sum of digits gives 10083268000.

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, 10971541 + ... + 10972459.

It is an arithmetic number, because the mean of its divisors is an integer number (139770540).

Almost surely, 2^10083268000 is an apocalyptic number.

10083268000 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 10083268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417971840).

10083268000 is an abundant number, since it is smaller than the sum of its proper divisors (16752675680).

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

10083268000 is a wasteful number, since it uses less digits than its factorization.

10083268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10083268000 in words is "ten billion, eighty-three million, two hundred sixty-eight thousand".