10222563456600 has 192 divisors, whose sum is σ = 35156798928000. Its totient is φ = 2436193766400.

The previous prime is 10222563456587. The next prime is 10222563456607. The reversal of 10222563456600 is 665436522201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222563456607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12736645 + ... + 13515444.

It is an arithmetic number, because the mean of its divisors is an integer number (183108327750).

Almost surely, 2^{10222563456600} is an apocalyptic number.

10222563456600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222563456600 is an abundant number, since it is smaller than the sum of its proper divisors (24934235471400).

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

10222563456600 is a wasteful number, since it uses less digits than its factorization.

10222563456600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26252178 (or 26252169 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 10222563456600 its reverse (665436522201), we get a palindrome (10887999978801).

The spelling of 10222563456600 in words is "ten trillion, two hundred twenty-two billion, five hundred sixty-three million, four hundred fifty-six thousand, six hundred".