10223616000 has 352 divisors, whose sum is σ = 36641431008. Its totient is φ = 2516582400.

The previous prime is 10223615977. The next prime is 10223616017. The reversal of 10223616000 is 61632201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786431994 + ... + 786432006.

Almost surely, 2^10223616000 is an apocalyptic number.

10223616000 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 10223616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320715504).

10223616000 is an abundant number, since it is smaller than the sum of its proper divisors (26417815008).

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

10223616000 is an frugal number, since it uses more digits than its factorization.

10223616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 10223616000 in words is "ten billion, two hundred twenty-three million, six hundred sixteen thousand".