10223665600 has 252 divisors, whose sum is σ = 26961961824. Its totient is φ = 3813539840.

The previous prime is 10223665579. The next prime is 10223665607. The reversal of 10223665600 is 656632201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223665607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39780672 + ... + 39780928.

It is an arithmetic number, because the mean of its divisors is an integer number (106991912).

Almost surely, 2^10223665600 is an apocalyptic number.

10223665600 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 10223665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480980912).

10223665600 is an abundant number, since it is smaller than the sum of its proper divisors (16738296224).

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

10223665600 is a wasteful number, since it uses less digits than its factorization.

10223665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10223665600 in words is "ten billion, two hundred twenty-three million, six hundred sixty-five thousand, six hundred".